11th Standard Maths English Medium Free Online Test Book Back One Mark Questions - Part Two

11th Standard

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Maths

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

10 x 1 = 10
1. Let X={1,2,3,4}, Y={a,b,c,d} and f={f(1,a),(4,b),(2,c),(3,d),(2,d)}. Then f is

(a)

an one-to-one function

(b)

an onto function

(c)

a function which is not one-to-one

(d)

not a function

2. If $\frac { |x-2| }{ x-2 } \ge 0$, then x belongs to

(a)

$[2,\infty]$

(b)

$(2,\infty )$

(c)

$(-\infty,2)$

(d)

$(-2,\infty )$

3. $\left( 1+cos\frac { \pi }{ 8 } \right) \left( 1+cos\frac { 3\pi }{ 8 } \right) \left( 1+cos\frac { 5\pi }{ 8 } \right) \left( 1+cos\frac { 7\pi }{ 8 } \right)$=

(a)

$\frac { 1 }{ 8 }$

(b)

$\frac { 1 }{ 2 }$

(c)

$\frac { 1 }{ \sqrt { 3 } }$

(d)

$\frac { 1 }{ \sqrt { 2 } }$

4. The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

(a)

304$\times$ 292

(b)

303$\times$ 293

(c)

302$\times$ 294

(d)

30$\times$295

5. The HM of two positive numbers whose AM and GM are 16,8 respectively is

(a)

10

(b)

6

(c)

5

(d)

4

6. Which of the following point lie on the locus of 3x2+3y2-8x-12y+17 = 0

(a)

(0,0)

(b)

(-2,3)

(c)

(1,2)

(d)

(0,-1)

7. Find the angle between the lines 3x2,- 10xy - 3y2 = 0

(a)

90°

(b)

45°

(c)

60°

(d)

30°

8. If A is a square matrix, then which of the following is not symmetric?

(a)

A+ AT

(b)

AAT

(c)

AT A

(d)

A− AT

9. It is given that f '(a) exists, then $lim_{x\rightarrow a}{xf(a)-af(x)\over x-a}$ is

(a)

f(a) - af '(a)

(b)

f '(a)

(c)

- f '(a)

(d)

f(a) + af '(a)

10. If $\int f '(x)e^{x^2}dx=(x-1)e^{x^2}+c$, then f(x) is

(a)

$2x^3-{x^2\over 2}+x+c$

(b)

${x^3\over 2}+3x^2+4x+c$

(c)

x+ 4x+ 6x + c

(d)

${2x^3\over3}-x^3+x+c$