#### 11th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key

11th Standard

Reg.No. :
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Maths

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

10 x 1 = 10
1. The function f:[0,2π]➝[-1,1] defined by f(x)=sin x is

(a)

one-to-one

(b)

on to

(c)

bijection

(d)

cannot be defined

2.  Given that x, y and b are real numbers x<y, b>0, then

(a)

xb < yb

(b)

xb > yb

(c)

xb ≤ yb

(d)

$\frac { x }{ b } \ge \frac { y }{ b }$

3. If cos280+sin280=k3, then cos 170 is equal to

(a)

$\frac { { k }^{ 3 } }{ \sqrt { 2 } }$

(b)

-$\frac { { k }^{ 3 } }{ \sqrt { 2 } }$

(c)

±$\frac { { k }^{ 3 } }{ \sqrt { 2 } }$

(d)

-$\frac { { k }^{ 3 } }{ \sqrt { 3 } }$

4. In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct is

(a)

125

(b)

124

(c)

64

(d)

63

5. The sequence$\frac { 1 }{ \sqrt { 3 } } ,\frac { 1 }{ \sqrt { 3 } +\sqrt { 2 } } \frac { 1 }{ \sqrt { 3 } +2\sqrt { 2 } }$...form an

(a)

AP

(b)

GP

(c)

HP

(d)

AGP

6. Which of the following equation is the locus of (at2; 2at)

(a)

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

(b)

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

(c)

x2+y2=a2

(d)

y2=4ax

7. What must be the matrix X, if 2x+$\begin{bmatrix} 1& 2 \\ 3 & 4 \end{bmatrix}=\begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}?$

(a)

$\begin{bmatrix} 1& 3 \\ 2 &-1 \end{bmatrix}$

(b)

$\begin{bmatrix} 1& -3 \\ 2 &-1 \end{bmatrix}$

(c)

$\begin{bmatrix} 2& 6 \\ 4 &-2 \end{bmatrix}$

(d)

$\begin{bmatrix} 2& -6 \\ 4 &-2 \end{bmatrix}$

8. If y = f(x2+2) and f '(3) = 5,then ${dy\over dx}$ at x = 1 is

(a)

5

(b)

25

(c)

15

(d)

10

9. $\int {x+2\over \sqrt{x^2+1}}dx$is

(a)

$\sqrt{x^2-1}-2 log|x+\sqrt{x^2-1}|+c$

(b)

$sin^{-1}x-2 log|x+\sqrt{x^2-1}|+c$

(c)

$2 log|x+\sqrt{x^2-1}|-sin^{-1}x+c$

(d)

$\sqrt{x^2-1}+2log|x+\sqrt{x^2-1}|+c$

10. If m is a number such that m $\le$ 5, then the probability that quadratic equation 2x2+2mx+m+1=0 has real roots is

(a)

${1\over 5}$

(b)

${2\over 5}$

(c)

${3\over 5}$

(d)

${4\over 5}$