#### 11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Five

11th Standard

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Maths

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

10 x 1 = 10
1. The function f(x) = log (x + $\sqrt{x^2+1}$) is ___________

(a)

an even function

(b)

an odd function

(c)

a periodic function

(d)

neither an even nor an odd function

2. If a and b are the roots of the equation x2- kx + 16 = 0 and a2+ b= 32 then the value of k is

(a)

10

(b)

-8

(c)

-8, 8

(d)

6

3. The number of real solution of |2x - x2- 3| = 1 is ___________

(a)

0

(b)

2

(c)

3

(d)

4

4. If nPr=k x n-1Pr-1 what is k:

(a)

r

(b)

n

(c)

n+1

(d)

r+1

5. Choose the incorrect pair:

(a)

10C1 - 10C9

(b)

10C3 - 10C7

(c)

10C4 - 10C6

(d)

10C5 - 10C2

6. If the sum of n terms of an A. P. be 3n2 - n and its common difference is 6, then its first term is ______________

(a)

2

(b)

3

(c)

1

(d)

4

7. The sum of the series $\frac { 1 }{ { log }_{ 2 }^{ 4 } } +\frac { 1 }{ { log }_{ 4 }^{ 4 } } +\frac { 1 }{ { log }_{ 8 }^{ 4 } } +.....+\frac { 1 }{ { log }_{ { 2 }^{ n } }^{ 4 } } is$______________

(a)

$\frac { n(n+1) }{ 2 }$

(b)

$\frac { n(n+1)(2n+1) }{ 2 }$

(c)

$\frac { n(n+1) }{ 4 }$

(d)

none of these

8. If a is the arithmetic mean and g is the geometric mean of two numbers, then

(a)

$\le$ g

(b)

$\ge$ g

(c)

a = g

(d)

a > g

9. The locus of a point which moves such that it maintains equal distances from two fixed points is a ______________

(a)

straight line

(b)

line bisector

(c)

pair of straight lines

(d)

angle bisector

10. If g(x) = (x2 + 2x + 3) f(x) and f(0) = 5 and $lim_{x \rightarrow 0}{f(x)-5\over x}=4$,then g'(0) is _________

(a)

20

(b)

14

(c)

18

(d)

12