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

11th Standard

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Maths

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

10 x 1 = 10
1. The function f:R➝R be defined by f(x) = sinx + cosx is

(a)

an odd function

(b)

neither an odd function nor an even function

(c)

an even function

(d)

both odd function and even function

2. The number of reflective relations one set containing n elements is __________

(a)

212

(b)

24

(c)

216

(d)

28

3. If ${ log }_{ \sqrt { x } }$ 0.25 = 4 ,then the value of x is

(a)

0.5

(b)

2.5

(c)

1.5

(d)

1.25

4. 2tan-1$\left( \frac { 1 }{ 5 } \right)$ is equal to _______________

(a)

tan$\left( \frac { 5 }{ 12 } \right)$

(b)

$\frac { 5 }{ 12 }$

(c)

$\tan^{-1}\left({5 \over 12}\right)$

(d)

tan-1$\frac { 2 }{ 5 }$

5. The number of ways in which we can arrange 4 letters of the word "MATHEMATICS" is given by  _________

(a)

136

(b)

2454

(c)

1680

(d)

192

6. The point (2, 1) and (-3, 5) are on ______________

(a)

Same side of the line 3x - 2y + 1 = 0

(b)

Opposite sides of the line 3x - 2y + 1 = 0

(c)

On the line 3x - 2y + 1 = 0

(d)

On the line x + y = 3

7. A root of the equation $\begin{vmatrix} 3-x&-6 &3 \\ -6 & 3-x & 3 \\ 3 &3 &-6-x \end{vmatrix}=0 \ is$

(a)

6

(b)

3

(c)

0

(d)

-6

8. If $\left( \begin{matrix} 2 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3 \end{matrix} \right)$ is a singular matrix, then $\lambda$ is_____________

(a)

$\lambda$=2

(b)

$\lambda$≠2

(c)

$\lambda =\frac { -8 }{ 5 }$

(d)

$\lambda \neq \frac { -8 }{ 5 }$

9. $lim_{x \rightarrow \infty}{\sqrt{x^2-1}\over 2x+1}=$

(a)

1

(b)

0

(c)

-1

(d)

$1\over 2$

10. The slope of the graph of $f\left( x \right) =\frac { \left| x \right| }{ x } ,x>0\quad is$

(a)

1

(b)

0

(c)

-1

(d)

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