HBSE Class 10 Question Paper 2024 Mathematics Basic

Haryana Board

QUESTIONPDF

PAPERS
2024

HBSE PYQP

CLASS : 10th (Secondary) Code No. 1104
Series : Sec/Annual Exam.-2024
Roll No. SET : A

xf.kr ¼vk/kkj½
MATHEMATICS (Basic)
(Academic/Open)
[ fgUnh ,oa vaxzsth ek/;e ]
[ Hindi and English Medium ]
(Only for Fresh/Re-appear/Improvement/Additional Candidates)

le; : 3 ?k.Vs ] [ iw.kk±d : 80
Time allowed : 3 hours ] [ Maximum Marks : 80

• Ñi;k tk¡p dj ysa fd bl iz'u&i= esa eqfnzr i`"B 24 rFkk iz'u 38 gSaA
Please make sure that the printed pages in this question paper are 24 in number
and it contains 38 questions.
• iz'u&i= esa nkfgus gkFk dh vksj fn;s x;s dksM uEcj rFkk lsV dks Nk= mÙkj&iqfLrdk ds eq[;&i`"B ij
fy[ksaA
The Code No. and Set on the right side of the question paper should be written by
the candidate on the front page of the answer-book.
• Ñi;k iz'u dk mÙkj fy[kuk 'kq: djus ls igys] iz'u dk Øekad vo'; fy[ksaA
Before beginning to answer a question, its Serial Number must be written.
• mÙkj&iqfLrdk ds chp esa [kkyh iUuk@iUus u NksMas+A
Don’t leave blank page/pages in your answer-book.

1104/(Set : A) P. T. O.

(2) 1104/(Set : A)
• mÙkj&iqfLrdk ds vfrfjDr dksbZ vU; 'khV ugha feysxhA vr% vko';drkuqlkj gh fy[ksa vkSj fy[kk mÙkj u
dkVsaA
Except answer-book, no extra sheet will be given. Write to the point and do not
strike the written answer.
• ijh{kkFkhZ viuk jksy ua0 iz'u&i= ij vo'; fy[ksaA jksy ua0 ds vfrfjDr iz'u&i= ij vU; dqN Hkh u
fy[ksa vkSj oSdfYid iz'uksa ds mÙkjksa ij fdlh izdkj dk fu'kku u yxk,¡A
Candidates must write their Roll No. on the question paper. Except Roll No. do not
write anything on question paper and don't make any mark on answers of objective
type questions.
• d`i;k iz'uksa ds mÙkj nsus lss iwoZ ;g lqfuf'pr dj ysa fd iz'u&i= iw.kZ o lgh gS] ijh{kk ds mijkUr bl
lEcU/k esa dksbZ Hkh nkok Lohdkj ugha fd;k tk;sxkA
Before answering the questions, ensure that you have been supplied the correct and
complete question paper, no claim in this regard, will be entertained after
examination.

lkekU; funsZ'k %
General Instructions :
(i) bl ç'u-i= esa dqy 38 ç'u gSa tksfd ik¡p [k.Mksa % v] c] l] n vkSj ; esa ck¡Vs x;s gSaA
This question paper consists of 38 questions in all which are divided into five
Sections : A, B, C, D and E.
(ii) [k.M – v % bl [k.M esa 1 ls 20 rd dqy 20 ç'u gSa] çR;sd ç'u 1 vad dk gSA
Section – A : There are 20 questions from 1 to 20, each of 1 mark.
(iii) [k.M – c % bl [k.M esa 21 ls 25 rd dqy 5 ç'u gSa] çR;sd ç'u 2 vad dk gSA
Section – B : There are 5 questions from 21 to 25, each of 2 marks.
(iv) [k.M – l % bl [k.M esa 26 ls 31 rd dqy 6 ç'u gSa] çR;sd ç'u 3 vad dk gSA
Section – C : There are 6 questions from 26 to 31, each of 3 marks.

1104/(Set : A)

(3) 1104/(Set : A)
(v) [k.M – n % bl [k.M esa 32 ls 35 rd dqy 4 ç'u gSa] çR;sd ç'u 5 vad dk gSA
Section – D : There are 4 questions from 32 to 35, each of 5 marks.

(vi) [k.M – ; % bl [k.M esa 36 ls 38 rd dqy 3 ç'u gSa] çR;sd ç'u 4 vad dk gSA
Section – E : There are 3 questions from 36 to 38, each of 4 marks.

(vii) lHkh iz'u vfuok;Z gSaA gkykafd [k.M&c ds 1 iz'u esa] [k.M&l
[k.M&l ds nks iz'uksa esa] [k.M&n ds nks
iz'uksa esa vkSj [k.M&; ds nks ç'uksa esa vkUrfjd fodYi fn;s x;s gSaA muesa ls vkidks ,d ç'u dks
pquuk gSA
All questions are compulsory. However provision of internal choice has
been made in 1 question of Section-B, 2 questions of Section-C, 2 questions
of Section-D and 2 questions of Section-E. You have to choose one question
of them.

[k.M – v
SECTION – A

1. 72 vkSj 120 dk e0 l0 v0 (HCF) gS % 1

(A) 12 (B) 24

(C) 36 (D) 72

The HCF of 72 and 120 is :

(A) 12 (B) 24

(C) 36 (D) 72

1104/(Set : A) P. T. O.

(4) 1104/(Set : A)
2. fuEufyf[kr esa dkSu&lh vifjes; la[;k gS \ 1

(A) 36 (B) 25

(C) 6 3 (D) 5 4

Which of the following is an irrational number ?

(A) 36 (B) 25

(C) 6 3 (D) 5 4

3. f}?kkr cgqin 2x2 – 8x + 6 ds 'kwU;dksa dk ;ksxQy gksxk % 1

(A) 4 (B) –4

(C) 3 (D) 1/3

The sum of zeroes of quadratic polynomial 2x2 – 8x + 6 will be :
(A) 4 (B) –4
(C) 3 (D) 1/3

4. A. P. 3, 1, –1, –3 ............. dk lkoZ varj Kkr dhft,A 1
Find the common difference of the A. P. 3, 1, –1, –3 ............. .

5. fuEufyf[kr esa ls f}?kkr lehdj.k dkSu&lh gS \ 1
(A) (x +1)2 = 2(x – 3)
(B) (x − 2) (x + 1) = (x – 1) (x + 3)
(C) (x + 2)3 = 2x (x2 – 1)
(D) x2 + 3x + 1 = (x – 2)2

1104/(Set : A)

(5) 1104/(Set : A)
Which of the following is a quadratic equation ?
(A) (x +1)2 = 2(x – 3)
(B) (x − 2) (x + 1) = (x – 1) (x + 3)

(C) (x + 2)3 = 2x (x2 – 1)

(D) x2 + 3x + 1 = (x – 2)2

6. fcUnqvksa (–2, 7) vkSj (4, –3) dks feykus okys js[kk[k.M dk e/; fcUnq gS % 1

(A) (–1, –2) (B) (–2, –4)
(C) (2, 4) (D) (1, 2)
Coordinates of mid point of line joining two points (–2, 7) and (4, –3) is :
(A) (–1, –2) (B) (–2, –4)
(C) (2, 4) (D) (1, 2)

7. lHkh oxZ ............. gksrs gSaA ¼le:i] lok±xle½ 1
All squares are ............. . (Similar, Congruent)

8. o`Ùk ds fdlh fcUnq ij Li'kZ js[kk] Li'kZ fcUnq ls tkus okyh f=T;k ds chp dk dks.k gksrk gS % 1

(A) 180° (B) 45°

(C) 90° (D) 60°

The tangent at any point of a circle makes an angle to the radius through the
point of contact is :

(A) 180° (B) 45°

(C) 90° (D) 60°

1104/(Set : A) P. T. O.

(6) 1104/(Set : A)
9. fdlh o`Ùk dh Li'kZ js[kk mls fdrus fcUnqvksa ij Li'kZ djrh gS \ 1

(A) 1 (B) 2

(C) 3 (D) vifjfer
At how many points a tangent to a circle intersect it ?

(A) 1 (B) 2

(C) 3 (D) Infinite

10. sin 60° sec 30° dk eku gksxk % 1

3 3
(A) (B)
4 2
(C) 1 (D) 0

The value of sin 60° sec 30° will be :

3 3
(A) (B)
4 2

(C) 1 (D) 0

11. ;fn tan θ = 4 gks] rks sin θ dk eku gksxk % 1
3

3 3
(A) (B)
4 5

5 4
(C) (D)
3 5

1104/(Set : A)

(7) 1104/(Set : A)
4
If tan θ = , then the value of sin θ will be :
3

3 3
(A) (B)
4 5

5 4
(C) (D)
3 5

12. 9 sec2 A – 9 tan2 A cjkcj gS % 1

(A) –9 (B) 9

(C) 1 (D) 0

9 sec2 A – 9 tan2 A is equals to :

(A) –9 (B) 9

(C) 1 (D) 0

13. o`Ùk dh ifjf/k vkSj O;kl dk vuqikr gS % 1

(A) π:1 (B) 2π : 1

(C) π:r (D) 1 : π

The ratio of circumference is to diameter is :

(A) π:1 (B) 2π : 1

(C) π:r (D) 1 : π
1104/(Set : A) P. T. O.

(8) 1104/(Set : A)
14. fdlh o`Ùk ds f=T;k[k.M dk {ks=Qy ftldh f=T;k 6 lseh vkSj dks.k 30° gS] gksxk % 1

(A) 2π lseh2 (B) 7π lseh2

(C) 3π lseh2 (D) 5π lseh2

Area of the sector of a circle with radius 6 cm and angle 30°, will be :

(A) 2π cm2 (B) 7π cm2

(C) 3π cm2 (D) 5π cm2

15. xksys dk i`"Bh; {ks=Qy ftldh f=T;k 3 lseh gS] gksxk % 1

3 4
(A) π lseh2 (B) π lseh2
4 3

(C) 18π lseh2 (D) 36π lseh2

The surface area of sphere whose radius is 3 cm, will be :
3 4
(A) π cm2 (B) π cm2
4 3

(C) 18π cm2 (D) 36π cm2

16. fuEufyf[kr ckjackjrk caVu dk cgqyd oxZ gksrk gS % 1

oxZ varjky 0-10 10-20 20-30 30-40 40-50

ckjackjrk 6 7 5 11 6

(A) 0-10 (B) 40-50

(C) 30-40 (D) 10-20

1104/(Set : A)

(9) 1104/(Set : A)
The modal class for the following frequency distribution :
Class Interval 0-10 10-20 20-30 30-40 40-50
Frequency 6 7 5 11 6

(A) 0-10 (B) 40-50

(C) 30-40 (D) 10-20

17. dsUnzh; izo`fÙk ds ekidksa esa ,d vkuqHkfod lEcU/k D;k gS \ 1

(A) 3 ek/;d = cgqyd + 2 ek/;

(B) ek/;d = 3 cgqyd + 2 ek/;
(C) ek/;d = 2 cgqyd + 3 ek/;
(D) 3 ek/;d = cgqyd – 2 ek/;

What is the empirical relationship between the three measures of central
tendency ?

(A) 3 Median = Mode + 2 Mean

(B) Median = 3 Mode + 2 Mean

(C) Median = 2 Mode + 3 Mean

(D) 3 Median = Mode – 2 Mean

18. ;fn P(E) = 0.07 gS] rks P(E ugha) dk eku gksxk % 1

(A) 0.7 (B) 0.3

(C) 0.03 (D) 0.93

1104/(Set : A) P. T. O.

( 10 ) 1104/(Set : A)
If P(E) = 0.07, then P(not E) will be :

(A) 0.7 (B) 0.3

(C) 0.03 (D) 0.93

19. vfHkdFku (A) % 5 ,d ifjes; la[;k gSA 1

rdZ (R) % lHkh /kukRed iw.kk±dksa ds oxZewy vifjes; la[;k,¡ gSaA
(A) vfHkdFku (A) vkSj rdZ (R) nksukas lgh gSa vkSj rdZ (R) vfHkdFku (A) dh lgh O;k[;k djrk gSA
(B) vfHkdFku (A) vkSj rdZ (R) nksukas lgh gSa vkSj rdZ (R) vfHkdFku (A) dh lgh O;k[;k ugha djrk gSA
(C) vfHkdFku (A) lgh gS] ysfdu rdZ (R) xyr gSA
(D) vfHkdFku (A) xyr gS] ysfdu rdZ (R) lgh gSA

Assertion (A) : 5 is a rational number.

Reason (R) : The square root of all positive integers is an irrational number.

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is correct
explanation of Assertion (A).

(B) Both Assertion (A) and Reason (R) are true and Reason (R) is not correct
explanation of Assertion (A).

(C) Assertion (A) is true, but Reason (R) is false.

(D) Assertion (A) is false, but Reason (R) is true.

1104/(Set : A)

( 11 ) 1104/(Set : A)
20. vfHkdFku (A) % fcUnqvksa (1, –3) vkSj (4, 1) ds chp dh nwjh 5 bdkbZ gSA 1

rdZ (R) % fcUnq A(x1, y1) vkSj B(x2, y2) ds chp dh nwjh

AB = (x 2 − x1 )2 + (y 2 − y1 )2

(A) vfHkdFku (A) vkSj rdZ (R) nksukas lgh gSa vkSj rdZ (R) vfHkdFku (A) dh lgh O;k[;k djrk gSA

(B) vfHkdFku (A) vkSj rdZ (R) nksukas lgh gSa vkSj rdZ (R) vfHkdFku (A) dh lgh O;k[;k ugha djrk gSA

(C) vfHkdFku (A) lgh gS] ysfdu rdZ (R) xyr gSA

(D) vfHkdFku (A) xyr gS] ysfdu rdZ (R) lgh gSA

Assertion (A) : The distance between points (1, –3) and (4, 1) is 5 units.

Reason (R) : The distance between A(x1, y1) and B(x2, y2) is

AB = (x 2 − x1 )2 + (y 2 − y1 )2

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is correct
explanation of Assertion (A).

(B) Both Assertion (A) and Reason (R) are true and Reason (R) is not correct
explanation of Assertion (A).

(C) Assertion (A) is true, but Reason (R) is false.

(D) Assertion (A) is false, but Reason (R) is true.

1104/(Set : A) P. T. O.

( 12 ) 1104/(Set : A)
[k.M – c
SECTION – B

21. k ds fdl eku ds fy,] fuEu jSf[kd lehdj.kkas ds ;qXe ds vifjfer :i ls vusd gy gksaxs \ 2

kx + 3y – (k – 3) = 0

12x + ky – k = 0

For what values of k will the following pair of linear equations have infinitely
many solutions ?

kx + 3y – (k – 3) = 0

12x + ky – k = 0

22. vkd`fr esa DE||BC gSA AD Kkr dhft,A 2
A

1.8 cm
D E

7.2 cm 5.4 cm

B C

In Fig. DE||BC, then find AD.
A

1.8 cm
D E

7.2 cm 5.4 cm

B C

1104/(Set : A)

( 13 ) 1104/(Set : A)
23. ,d fcUnq A ls] tks ,d o`Ùk ds dsUnz ls 5 lseh nwjh ij gS] o`Ùk ij Li'kZ js[kk dh yackbZ 4 lseh gSA o`Ùk

dh f=T;k Kkr dhft,A 2

The length of a tangent from a point A at distance 5 cm from the centre of the
circle is 4 cm. Find the radius of the circle.

24. ;fn sin (A – B) = 1 , cos (A + B) = 1 , 0° < A + B ≤ 90°, A > B, rks A vkSj B Kkr
2 2

dhft,A 2

1 1
If sin (A – B) = , cos (A + B) = , 0° < A + B ≤ 90°, A > B, then find the value of
2 2
A and B.

vFkok

OR

1
;fn tan (A + B) = 3 vkSj tan (A – B) = ; 0° < A + B ≤ 90°, A > B, rks A vkSj B dk
3

eku Kkr dhft,A

1
If tan (A + B) = 3 and tan (A – B) = ; 0° < A + B ≤ 90°, A > B, then find the
3
value of A and B.

1104/(Set : A) P. T. O.

( 14 ) 1104/(Set : A)
25. fdlh dkj ds nks okbij (wipers) gSa] ijLij dHkh vkPNkfnr ugha gksrs gSaA izR;sd okbij dh iÙkh dh

yEckbZ 25 lseh gS vkSj 115° ds dks.k rd ?kwedj lQkbZ dj ldrk gSA ifÙk;kas dh izR;sd Qqgkj ds lkFk
ftruk {ks=Qy lkQ gks tkrk gS] og Kkr dhft,A 2

A car has two wipers which do not overlap. Each wiper has a blade of length
25 cm sweeping through an angle of 115°. Find the total area cleaned at each
sweep of the blades.

[k.M – l
SECTION – C

26. fl) dhft, fd 5 ,d vifjes; la[;k gSA 3

Prove that 5 is an irrational number.

27. f}?kkr cgqin 6x2 – 7x – 3 ds 'kwU;d Kkr dhft, vkSj 'kwU;dksa rFkk xq.kkadksa ds chp ds lac/a k dh lR;rk
dh tk¡p dhft,A 3

Find the zeroes of quadratic polynomial 6x2 – 7x – 3 and verify the relationship

between the zeroes and the coefficients.

28. nks la[;kvksa dk varj 26 gS vkSj ,d la[;k nwljh la[;k dh rhu xquh gSA mUgsa Kkr dhft,A 3

The difference between two numbers is 26 and one number is three times the

other. Find them.

1104/(Set : A)

( 15 ) 1104/(Set : A)
vFkok
OR
jSf[kd lehdj.k ;qXe dks gy dhft, %
3x 5y x y 13
− = −2, + =
2 3 3 2 6
Solve the pair of linear equations :
3x 5y x y 13
− = −2, + =
2 3 3 2 6

29. fl) dhft, fd cká fcUnq ls o`Ùk ij [khaph xbZ Li'kZ js[kkvksa dh yackb;k¡ cjkcj gksrh gSaA 3

Prove that the length of tangents drawn from an external point to a circle are
equal.

30. ∆PQR eas] ftldk dks.k Q ledks.k gS] PR + QR = 25 lseh vkSj PQ = 5 lseh gS] rks cos P vkSj

tan P dk eku Kkr dhft,A 3

In ∆PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the
value of cos P and tan P.

vFkok
OR

1 − cos θ
fl) dhft, % (cosec θ – cot θ)2 =
1 + cos θ

1 − cos θ
Prove that : (cosec θ – cot θ)2 =
1 + cos θ

1104/(Set : A) P. T. O.

( 16 ) 1104/(Set : A)
31. ,d ikls dks ,d ckj Qsadk tkrk gSA fuEufyf[kr dks izkIr djus dh izkf;drk Kkr dhft, % 3

(i) ,d vHkkT; la[;k
(ii) 2 vkSj 6 ds chp fLFkr dksbZ la[;k

(iii) ,d fo"ke la[;k
A die is thrown once. Find the probability of getting :
(i) a prime number
(ii) a number lying between 2 and 6
(iii) an odd number

[k.M – n
SECTION – D

32. ,d eksVj cksV] ftldh fLFkj ty esa pky 18 fdeh@?k.Vk gS] 24 fdeh /kkjk ds izfrdwy tkus ea]s ogh nwjh
/kkjk ds vuqdwy tkus dh vis{kk 1 ?k.Vk vf/kd ysrh gSA /kkjk dh pky Kkr dhft,A 5
A motor boat whose speed is 18 km/h in still water takes 1 hour more to go
24 km upstream than to return downstream to the same spot. Find the speed of
the stream.
vFkok
OR
1
3 o"kZ iwoZ lhek dh vk;q ¼o"kks± eas½ dk O;qRØe vkSj vc ls 5 o"kZ i'pkr~ vk;q ds O;qRØe dk ;ksx gSA
3
mldh orZeku vk;q Kkr dhft,A
The sum of the reciprocals of Seema's ages (in years) 3 years ago and 5 years
1
from now is . Find her present age.
3

1104/(Set : A)

( 17 ) 1104/(Set : A)
33. fl) dhft, ß;fn fdlh f=Hkqt dh ,d Hkqtk ds lekarj vU; nks Hkqtkvksa dks fHkUu&fHkUu fcUnqvkas ij
izfrPNsn djus ds fy, ,d js[kk [khaph tk,] rks ;s vU; nks Hkqtk,¡ ,d gh vuqikr eas foHkkftr gks tkrh
gaSÞA 5

Prove that "If a line is drawn parallel to one side of a triangle to intersect the other

two sides in distinct points, the other two sides are divided in the same ratio".

34. dksbZ racw ,d csyu ds vkdkj dk gS ftl ij ,d 'kadq v/;kjksfir gSA ;fn csyukdkj Hkkx dh Å¡pkbZ vkSj
O;kl Øe'k% 2.1 eh vkSj 4 eh gSa rFkk 'kadq dh fr;Zd Å¡pkbZ 2.8 eh gS] rks bl racw dks cukus eas
iz;qDr dSuokl dk {ks=Qy Kkr dhft,A lkFk gh ` 500 izfr eh2 dh nj ls bleas iz;qDr dSuokl dh
ykxr Kkr dhft,A ¼/;ku nhft, fd racw ds vk/kkj dks dSuokl ls ugha <dk tkrk gSA½ 5

A tent is in the shape of a cylinder surmounted by a conical top. If the height
and diameter of cylindrical part are 2.1 m and 4 m respectively and the slant
height of the top is 2.8 m. Find the area of the canvas used for making the tent.
Also find the cost of the canvas of the tent at the rate of ` 500 per m2. (Note that
the base of the tent will not be covered with canvas.)
vFkok
OR
Hkqtk 7 lseh okys ,d ?kukdkj CykWd ds Åij ,d v/kZxksyk j[kk gqvk gSA v/kZxksys dk vf/kdre O;kl
D;k gks ldrk gS \ bl izdkj cus Bksl dk i`"Bh; {ks=Qy Kkr dhft,A
A cubical block of side 7 cm is surmounted by a hemisphere. What is the
greatest diameter the hemisphere can have ? Find the surface area of the solid.

1104/(Set : A) P. T. O.

( 18 ) 1104/(Set : A)
35. fn;k gqvk caVu fo'o ds dqN Js"Bre cYyscktksa }kjk ,dfnolh; varjkZ"Vªh; fØdsV eSpksa eas cuk, juksa dks
n'kkZrk gS % 5
cuk, x, ju cYyscktksa dh la[;k
3000-4000 4
4000-5000 18
5000-6000 9
6000-7000 7
7000-8000 6
8000-9000 3
9000-10000 1
10000-11000 1

bu vk¡dM+kas dk cgqyd Kkr dhft,A

The given distribution shows the number of runs scored by some top Batsmen of
the world in one day international cricket matches :
Runs Scored Number of
Batsman
3000-4000 4
4000-5000 18
5000-6000 9
6000-7000 7
7000-8000 6
8000-9000 3
9000-10000 1
10000-11000 1
Find the mode of the data.

1104/(Set : A)

( 19 ) 1104/(Set : A)
[k.M – ;
SECTION – E

36. vUoh ds }kjk 810 lscksa dks Vksdfj;kas esa bl izdkj j[kk x;k gS fd igyh Vksdjh eas 5 lsc] nwljh esa
12 lsc o rhljh eas 19 lsc bR;kfnA

mijksDr fyf[kr lwpuk ds vk/kkj ij fuEufyf[kr iz'uksa ds mÙkj nhft, %

(i) Vksdfj;ksa eas j[ks lscksa dh la[;k D;k ,d A. P. gS \ 1

(ii) 9oha Vksdjh eas j[ks lscksa dh la[;k Kkr dhft,A 1

(iii) igyh 13 Vksdfj;ksa eas dqy lscksa dh la[;k Kkr dhft,A 2

vFkok

fdruh Vksdfj;ksa esa 95 lsc j[ks x, gSa \ 2

Anvi has 810 apples and she arranged them in baskets in such a way that 5 apples
are in first basket, 12 in second basket, 19 apples in third basket and so on.

Based on the above information, answer the following questions :

1104/(Set : A) P. T. O.

( 20 ) 1104/(Set : A)
(i) Is the number of apples in baskets in A. P. ?

(ii) Find the number of apples kept in the 9th basket.

(iii) Find the total number of apples in the first 13 baskets.

OR

In how many baskets 95 apples can be kept ?

37. ,d d{kk esa 4 nksLr jke] jktu] izoh.k vkSj jeu fp= esa fn[kk, vuqlkj fcUnq A, B, C vkSj D ij
cSBs gSaA ;g ekurs gq, fd O ewy fcUnq gSA vkd`fr dk voyksdu djsa vkSj vkd`fr ds vk/kkj ij
fuEufyf[kr iz'uksa ds mÙkj nhft, %
(i) jktu dh fLFkfr Kkr dhft,A 1

(ii) izoh.k dh fLFkfr Kkr dhft,A 1

(iii) AC ds e/;fcUnq ds funsZ'kkad Kkr dhft,A 2

vFkok
izoh.k dh ewy fcUnq ls nwjh Kkr dhft,A 2

1104/(Set : A)

( 21 ) 1104/(Set : A)

10
9
8
B
7
6
Rows

5
A C
4
3
2
1 D

O 1 2 3 4 5 6 7 8 9 10
Columns

In a classroom 4 friends Ram, Rajan, Praveen and Raman are sitting on the
points A, B, C and D as shown in the fig. Assuming O be the origin. Observe the
figure and answer the following questions based on the figure :

(i) Find the position of Rajan.

(ii) Find the position of Praveen.

(iii) Find the coordinates of the mid point of AC.

OR

Find the distance of Praveen from origin.

1104/(Set : A) P. T. O.

( 22 ) 1104/(Set : A)

10
9
8
B
7
6
Rows

5
A C
4
3
2
1 D

O 1 2 3 4 5 6 7 8 9 10
Columns

38. ,d yM+dk ykbV gkml ds 'kh"kZ ij [kM+k gSA mlus ns[kk fd uko P vkSj uko Q foijhr fn'kkvksa ls ykbV
gkml dh vksj vk jgh gSaA mlus ik;k fd uko P dk voueu dks.k 45° gS vkSj uko Q dk voueu
dks.k 30° gSA og ;g Hkh tkurk gS fd ykbV gkml dh Å¡pkbZ 100 ehVj gSA

A
X Y
45° 30°

100m

45° 30°
P P Q
Q D

1104/(Set : A)

( 23 ) 1104/(Set : A)
mijksDr tkudkjh ds vk/kkj ij fuEufyf[kr iz'uksa ds mÙkj nhft, %

(i) ∠APQ dk eki D;k gksxk \ 1

(ii) PD dh yackbZ Kkr dhft,A 1

(iii) QD dh yackbZ Kkr dhft,A 1

(iv) AP dh yackbZ Kkr dhft,A 1

A boy standing on the top of a light house. He saw that two boats P and Q were

approaching towards light house from opposite sides of it. He observed that

angle of depression of boat P is 45° and that of boat Q is 30°. He also knows the

height of light house is 100 m.

A
X Y
45° 30°

100m

45° 30°
P P Q
Q D

1104/(Set : A) P. T. O.

( 24 ) 1104/(Set : A)
Using above information answer the following questions :

(i) What will be the measure of ∠APQ ?

(ii) Find the length of PD.

(iii) Find the length of QD.

(iv) Find the length of AP.

S

1104/(Set : A)

Haryana Board
Study Material

Syllabus

Model Papers

Previous Year Question Papers

Books

Notes