HP Board Class 11 Model Question Paper Maths

Q.7 Modulus of a complex number is
Model Question Paper
Class –11th
(a) 10 (b) (c) (d) zero
Paper – Maths.
Time 3:00 Hrs. Maximum Marks: – 80 Q.8 If and r=5, then value of is
Genera linstructions: -
(i) This Question paper contains – five sections A,B,C,D and E.
(ii) Each section is compulsory. However, there are internal choices in some (a) 21 (b) 42 (c) (d) 75
questions.
(iii) Section A has 16 MCQ’s of 1 mark each.
Q.9 If first term of G.P is 5 and its 10th term is then the common ratio is
(iv) Section B has 5 very short Answer (VSA) – questions of 2 marks each.
(a) 1 (b) 5 (c) 9 (d) 11
(v) Section C has 6 short Answer (SA) – questions of 3 marks each.
(vi) Section D has 4 long – answer (LA) – question of 4 marks each.
Q.10 Slope of lines passing through the points (3,-2) and (-1, 4) is
(vii) Section E has 4 long – answer (LA) – questions of 5 marks each.

(SECTION - A) (1X16=16)
(a) (b) (c) (d) 0
(Multiple choice Questions)
Each question carries 1 mark Q.11 is

Q.1 The set of Girls in a Boys school is
(a) 5 (b) (c) 1 (d) None of these
(a)a null set (b) a singleton set (c) a finite set (d) None of these
Q.12 Derivative of Cosec x is
Q.2 Two sets A, B are disjoint iff
(a) (b) - (c) (d) None of these
(a) AUB= (b) A B (c) A B (d) A-B=A

Q.3 If R is a relation on a finite set having n elements, then the number (CASE STUDY - I)
of relations on A is
Indian track and field athlete Neeraj Chopra who completes in the Javelin
(a) (b) (c) (d)
throw, won a gold medal at Tokyo Olympics. He is the first track and field
Q.4 The value of radian is equal to
athlete to win a gold medal for India at the Olympics.
(a) (b) (c) (d)
Q.13 Name the shape of the path followed by a Javelin
Q.5 The general solution of tan 3x=1 is
(a) Half ellipse (b) Parabola(c) Hyperbola (d) None of these
(a) (b) (c) (d)
Q.14 If equation of a such a curve is given by then Co –
ordinates of the foci are
Q.6 The value of
(a) (4, 0) (b) (0, 4)(c) (0, -4) (d) (-4, 0)
(a) (b) (c) zero(d) -1

(CASE STUDY - II) (SECTION-C) (3x6=18)

The derivative of y with respect to xis the change in y with respect to change in x. This section comprises of short answer type questions (SA) of 3 marks
The derivative of at is given by each.

Q.22 Prove that

Q.15 If Q.23 Sovle the equality for real x:
(a) 0 (b) 50 (c) 51 (d) 101
Q.16 y: = -----------------

(a) cos2x (b) sec2x (c) (d) OR

Solve the system of inequalities graphically
(SECTION-B) (2x5=10)

This section comprises of very short answer type questions (VSA) of 2- marks 2x+y-3 and x-2y+1 0
each.
Q.24 Find the equation of the line passing through (-3,5) and perpendicular to the
Q.17 How many times will be a wheel of a car rotate in a Journey of 1320m, line through the points (2,5) and (3,-6).
if the radius of the wheel is 35cm? OR
Find the angle between the lines y- -5=0 and -x+6=0
Q.18 Find the multiplicative inverse of 2+ i.
OR Q.25 Find the equation of the circle passing through the points (2,3) and (-1,1)
For any positive integer n, prove that and whose centre is on the line x-3y-11=0
OR
Q.19 If , find x. Find the coordinates of the foci, the vertices, the length of major axis, the
minor axis, the eccentricity and the length of the latus rectum of the ellipse
OR + 1

In how many ways can 4 red, 3 yellow and 2 green discs be arranged in
Q.26 Findthe ratio in which the YZ-plane divides the line segment formed
a row if the discs of the same colour are indistinguishable?
by joining the points (-2,4,7) and (3,-5,8).
Q.20 Find the derivative of 5 sinx- 6 cosx+7.
Q.27 A and B are events such that P(A)=0.42,P(B)=0.48 and P(A and B)=0.16 .
Q.21 Write the contrapositive of the statement, if a number is divisible by 9, Determine (i) P (notA) (ii) P (not B) (iii) P(A or B)
then it is divisible by 3.
(SECTION-D) (4x4=16)

This section comprises long answer ( - questions of 4 marks each.

Q.28 In a group of 65 people, 40 like cricket, 10 like both cricket and tennis.
How many like tennis only not cricket? How many like tennis?

Q.29 A function f is defined by f(x)=2x-5. Write down the values of
(i) f(0) (ii) f(7) (iii) f(-3)

OR
Find the domain of the function f(x)=

Q.30 Using principle of mathematical Induciton, prove that
12+22+32+42+-----------+n2=

Q.31 Three coins are tossed once. Find the probability of getting (i) 3 heads (ii)
no tail (iii) atmost 2 heads (iv) exactly two tails.

OR
A and B are two events such that P(A)=0.54, P(B)=0.69 and P
(A =0.35
Find:
(i) P (A (ii) P( (iii) P (A (iv) P (B

SECTION-E (5x4=20)
This section comprises long answer ( - questions of 5 marks each.

Q.32 Find the general solution of
Sinx+sin3x+sin5x=0
OR
If tanx = - , x in quadrant II, find the value of sin , cos and tan
Q.33 Find the 4th term in the expansion of (x-2y)12
OR
Find the middle terms in the expansion of ( + 9y)10

Q.34 Find the sum to n terms of the series
1x2+2x3+3x4+4x5+--------------------

Q.35 Find the mean and variance for the following distribution

Classes Frequencies
0-30 2
30-60 3
60-90 5
90-120 10
120-150 3
150-180 5
180-210 2

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