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MATH (CLASS -11)

Total questions: 21

Worksheet time: 29mins

Name
Class
Date
1.

The set of all the points on the circumference of circle is

a)

finite set

b)

infinite set

c)

empty set

d)

null set

2.

If A={1, 3, 5} How many elements has P(A)

a)

8

b)

6

c)

9

d)

4

3.

Find the domain and range of the real function  f(x)=x1+x2f\left(x\right)=\frac{x}{1+x^2}  

a)

(-1 ,1)

b)

[-1 ,1]

c)

All real no.

d)

none these

4.

 Findthedomainandrangeoftherealfunctionf(x)=11−x2Findthedomainandrangeoftherealfunctionf\left(x\right)=\frac{1}{1-x^2}  


a)

R- {-1 ,1}

b)

R- [-1 ,1]

c)

(1, -1)

d)

[-1  ,1]

5.

if order pair (2a + b, a – b) = (8, 3) value of "a" and "b" is

a)

11/3, 2/3

b)

-11/3 ,-2/3

c)

11/3 ,-2/3

d)

-11/3 ,2/3

6.

The value of cos 180° is

a)

(a) 0

b)

(b) 1

c)

(c) -1

d)

(d) infinite

7.

If 3 × tan(x – 15) = tan(x + 15), then the value of x is

a)

(a) 30

b)

(b) 45

c)

(c) 60

d)

(d) 90

8.

The value of tan 20 × tan 40 × tan 80 is

a)

(a) tan 30

b)

(b) tan 60

c)

(c) 2 tan 30

d)

(d) 2 tan 60

9.

The sum of the series 1³ + 2³ + 3³ + ………..n³ is

a)

(a) {(n + 1)/2}²

b)

(b) {n/2}²

c)

(c) n(n + 1)/2

d)

(d) {n(n + 1)/2}²

10.

The nth terms of the series 3 + 7 + 13 + 21 +………. is

a)

(a) 4n – 1

b)

(b) n² + n + 1

c)

(c) none of these

d)

(d) n + 2

11.

The value of √(-16) is

a)

(a) -4i

b)

(b) 4i

c)

(c) -2i

d)

(d) 2i

12.

If ω is an imaginary cube root of unity, then (1 + ω – ω²)7 equals

a)

(a) 128 ω

b)

(b) -128 ω

c)

(c) 128 ω²

d)

(d) -128 ω²

13.

 The value of i−999The\ value\ of\ i^{-999}  

a)

(a) 1

b)

(b) -1

c)

(c) i

d)

(d) -i

14.

If {(1 + i)/(1 – i)}n = 1 then the least value of n is

a)

(a) 1

b)

(b) 2

c)

(c) 3

d)

(d) 4

15.

There are 12 points in a plane out of which 5 are collinear. The number of triangles formed by the points as vertices is

a)

(a) 185

b)

(b) 210

c)

(c) 220

d)

(d) 175

16.

The number of ways in which 8 distinct toys can be distributed among 5 children is

a)


585^8

b)

858^5

c)

8P5

d)

5P5

17.

The coefficient of y in the expansion of (y² + c/y)5 is

a)

(a) 10c

b)

(b) 10c²

c)

(c) 10c³

d)

(d) None of these

18.

If a, b, c are in G.P., then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root if d/a, e/b, f/c are in

a)

(a) AP

b)

(b) GP

c)

(c) HP

d)

(d) none of these

19.

The 35th partial sum of the arithmetic sequence with terms an = n/2 + 1

a)

(a) 240

b)

(b) 280

c)

(c) 330

d)

(d) 350

20.

The first term of a GP is 1. The sum of the third term and fifth term is 90. The common ratio of GP is

a)

(a) 1

b)

(b) 2

c)

(c) 3

d)

(d) 4

21.

If 2/3, k, 5/8 are in AP then the value of k is

a)

(a) 31/24

b)

(b) 31/48

c)

(c) 24/31

d)

(d) 48/31