MH 10th Question Paper March 2026 Maths Part 2 (Geometry)

FOR MAHARASHTRA BOARD (MSBSHSE) CLASS 10 EXAM PREPARATION

Maharashtra Board
(MSBSHSE) Class 10
2026
March Session
Question Paper · Maths
Part 2 (Geometry)
EXAM YEAR TYPE

Maharashtra Board (MSBSHSE) Class 10 2026 March Session Question Paper
SUBJECT

Maths Part 2 (Geometry)

Notes · Sample Papers · Previous Year Papers · Mock Tests

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N 932 Seat Number

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2026 III 09 1100 – N 932– MATHEMATICS (71)
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GEOMETRY—PART II (E)
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Time : 2 Hours (Pages 11) Max. Marks g
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: 40

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Note :—

(i) All questions are compulsory.

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(ii) Use of a calculator is not allowed.
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ag of the questions indicate full marks.
(iii) The numbers to the right

(iv) In case of MCQs [Q. No. 1(A)] only the first attempt will be evaluated

and will be given credit.

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Draw proper figures wherever necessary.

e m las
las g
a not erase them.
ag (vi) The marks of construction should be clear. Do

(vii) Diagram is essential for writing the proof of the theorem.

P.T.O.

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Page 1 of 11

2/N 932
1. (A) For each of the following sub-question four alternative answers are

given. Choose the correct alternative and write its alphabet. 4

(1) Out of the following which is the Pythagorean triplet ?

(A) (1, 5, 10)

(B) (3, 4, 5)

(C) (2, 2, 2)

(D) (5, 5, 2)

(2) Two circles having radii 4 cm and 5 cm touch each other

internally. Then the distance between the centres is .....................

(A) 4 cm

(B) 5 cm

(C) 1 cm

(D) 9 cm

(3) Out of the following points ...................... lies to the right of the

origin on X-axis.

(A) (–2, 0)

(B) (0, 2)

(C) (2, 3)

(D) (2, 0)

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3/N 932
Seat Number

(4) If the side of the cube is 5 cm, then the volume of that cube
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is
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(B) 100 cm3

(C) 125 cm3

25 cm3 m
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(D)

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(B)
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Solve the following sub-questions : 4

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(1) The ratio of corresponding sides of similar triangles is 3 : 5, then

find the ratio of their areas.

(2) Find the side of a square if its diagonal is 10 2 cm.

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(3) If the measure of minor arc is 70º, then find the measure of
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corresponding major arc.

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ag (4) Angle made by the line with the positive direction of X-axis

is 45º, find the slope of line.

P.T.O.

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Page 3 of 11

4/N 932
2. (A) Complete the following activities and rewrite it (any two) : 4

(1) In the following figure, seg PS is a tangent segment, line PR

is a secant. If PQ = 3.6, QR = 6.4, find PS.

P

Q

S

R

Activity :

PS2 = × PR (Tangent secant segment theorem)

= PQ × [PQ + QR]

= × [3.6 + 6.4]

= 3.6 ×

 PS2 = 36

PS =

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5/N 932
Seat Number
25
(2) If sec  = , find the value of tan .
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Solution
s e m
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l as 1 + tan2  =
ag
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 1 + tan2  = 2

625
 tan2  = –
49
625 – 49
=
49
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 tan2  =
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576

s e 49

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
ag =
tan 

(3) In the following figure, side of square ABCD is 7 cm. With centre

D and radius DA, sector D-AXC is drawn. Fill in the following

boxes properly and find out the area of shaded region :
A D
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B C
P.T.O.

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Page 5 of 11

6/N 932
Solution :

Area of square = (si de) 2

= (7)2

 Area of square = cm2

If area of sector (D-AXC) = 38.5 cm2, then

A (shaded region) = A – A

= 49 cm2 – 38.5 cm2

= cm2

(B) Solve the following sub-questions (any four) : 8

(1) Find QP using given information in the figure :

(2) In RST, S = 90º, T = 30º, RT = 12 cm, then find RS and

ST.

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7/N 932
Seat Number
(3) In the following figure, chord MN and chord RS intersect at point
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D. If RD = 15, DS = 4, MD = 8, find DN.
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N
R

(4) Find the co-ordinates of the midpoint of the line segment joining
points P(0, 6) and Q(12, 20).
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(5) Prove that : sin2  + cos2  = 1.
3. (A)
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C o m p l et e t h e f o l l o w i n g a c t i v i t i es a n d r ew r i t e i t ( a n y one) : 3
(1) as seg XY || side AC. If 2AX = 3BX and
In the following lfigure,
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XY = 9, complete
A

X

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Activity :

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a 2AX = 3BX
AX 3
 =
BX 2

P.T.O.

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Page 7 of 11

8/N 932
AX  BX 
 = .......... (By componendo)
BX 2

AB
=
BX 2

 BCA ~  BYX ............. ( Test of similarity)

BA AC
 = .............. (Corresponding sides of similar
BX XY
triangles)

5 AC
 =
9

 AC =

(2) For finding AB and BC with the help of information given in
the following figure, complete the following activity :

A

8

B C

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9/N 932
Seat Number

Activity :
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AB = BC ....................
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e m l as
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ag
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 AB = BC = × AC

1
= ×
2

o m
c
= . × 2 ×
1

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AB = BC =

(B) Solve the following sub-questions (any two) : 6

(1) Prove that : The tangent segments drawn from an external point
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to the circle are congruent.

m s em
s e g la
g la (2) a 3.5 cm, take a point P
Draw a circle with centre O and radius
a at a distance 5.7 cm from the centre. Draw tangents to the circle

from point P.

P.T.O.

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Page 9 of 11

10/N 932
(3) Find the co-ordinates of point P, if P divides the line segment
joining the points A(–1, 7) and B(4, –3) in the ratio 2 : 3.

(4) A bucket is frustum shaped. Its height is 28 cm. Radii of circular
faces are 12 cm and 15 cm. Find the capacity of the bucket in
 22 
litres.   .
 7 

4. Solve the following sub-questions (any two) : 8

(1)  ABC ~  ADE,

AB 7
In  ABC, AB = 6.3 cm,  CAB = 50º, AC = 5.6 cm and  .
AD 5

Construct  ADE.

(2) Surface area of sphere and total surface area of cube are same. Show

that the ratio of the volume of the sphere to that of the cube is

6 : .

(3) In  ABC, A-X-B and A-Y-C is such that segment XY || side BC.
BX
Segment XY divides  ABC in two equal areas, then find .
AB

5. Solve the following sub-questions (any one) : 3

(1) Seg PQ is a chord of a circle. Arc PXQ is a major arc and Arc PYQ

is a minor arc.  POQ is central angle of the circle :

(a) Draw the figure from given information.

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11/N 932
Seat Number

(b) F i n d t h e m ea su r e of  PXQ,  PYQ and add mPXQ,
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mPYQ.
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(c)
a
Find the measure of POQ. Write the relation between  PXQ
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ag and  POQ.

(2) Two eagles are flying in the sky at height of 10 3 m above the ground.

A boy standing at a point on the ground looks towards the eagles making

angles of elevation of 60º and 30º respectively. Find the distance between

these two eagles.
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P.T.O.

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