#### 11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Five

11th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

10 x 1 = 10
1. If n((A x B) ∩(A x C)) = 8 and n(B ∩ C) = 2, then n(A) is

(a)

6

(b)

4

(c)

8

(d)

16

2. Domain of the function $y={x-1\over x+1}$ is:

(a)

1R

(b)

Q

(c)

R-(-1)

(d)

R-1

3. Which one of the following is false?

(a)

(A')' = A

(b)

AUA' = A

(c)

A⋂A' = Ø

(d)

AUA' = U

4. Find a so that the sum and product of the roots of the equation 2x2+(a-3)x+3a-5 = 0 are equal is

(a)

1

(b)

2

(c)

0

(d)

4

5. If $\alpha$ and $\beta$ are the roots of 2x2 - 3x - 4 = 0 find the value of $\alpha^2+\beta^2$

(a)

$\frac{41}{4}$

(b)

$\frac{\sqrt{14}}{2}$

(c)

0

(d)

none of these

6. There is a letter lock with 3 rings each marked with 5 letters and do not know the keyword. The total number of attempts can be made to know the keyword is

(a)

35

(b)

53

(c)

124

(d)

5

7. Assertion (A): Every body in a room shakes hands with everybody else. The total number of persons in the room is n. The number of hand shakes is $\frac{n(n-1)}{2}$
Reason (R): The number of handshakes is nC2

(a)

Both A and R are true and R is the correct explanation of A

(b)

Both A and R are true but R is not the correct explantion of A

(c)

A is true R is false

(d)

is false R is true

8. The nth term of a G. Pis 128 and the sum of its n terms is 225. If its common ratio is 2, then its first term is

(a)

1

(b)

3

(c)

8

(d)

none of these

9. The distance between the line 12x - 5y + 9 = 0 and the point (2, 1) is

(a)

$\pm\frac{28}{13}$

(b)

$\frac{28}{13}$

(c)

$-\frac{28}{13}$

(d)

none of these

10. At x$={3\over 2}$ the function $f(x)={|2x-3|\over 2x-3}$ is

(a)

continuous

(b)

discontinuous

(c)

differentiable

(d)

non-zero