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

11th Standard

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Maths

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

10 x 1 = 10
1. Let S = (1, 2, 3), R be (1, 1) (1, 2) (2, 2) (1, 3) (3, 1), what are the elements to-be included to make R reflexive:

(a)

(3, 3)

(b)

(2, 3)

(c)

(3, 2)

(d)

none of these

2. (x2-2x+2)(x2+2x+2) are the factors of the polynomial

(a)

(x2-2x)2

(b)

x4-4

(c)

x4+4

(d)

(x2-2x+2)2

3. The product of r consecutive positive integers is divisible by

(a)

r!

(b)

r!+1

(c)

(r+1)

(d)

none of these

4. The middle term in the expansion of  is $(x- \frac{2}{x})^{12}$ is

(a)

12C6

(b)

12C626

(c)

12C7

(d)

12C627

5. If $\begin{bmatrix} 2x+y & 4x \\ 5x-7 & 4x \end{bmatrix}=\begin{bmatrix} 7 & 7y-13 \\ y & x+6 \end{bmatrix}$, then the value of x+y is

(a)

5

(b)

6

(c)

4

(d)

3

6. |adj A| =_____________ where A is a square matrix of order

(a)

|A|

(b)

|A|2

(c)

|A|3

(d)

I

7. The rate of change of area A of a circle of radius r is

(a)

$2\pi r$

(b)

$2\pi r\frac { dr }{ dt }$

(c)

$\pi { r }^{ 2 }\frac { dr }{ dt }$

(d)

$\pi \frac { dr }{ dt }$

8. Choose the correct or the most suitable answer from the given four alternatives.
The derivative of $\cos ^{ -1 }{ (2{ x }^{ 2 } } -1)$ with respect to $\cos ^{ -1 }{ x }$ is

(a)

2

(b)

$\frac { 1 }{ 2\sqrt { 1-{ x }^{ 2 } } }$

(c)

$\frac { 2 }{ x }$

(d)

$1-{ x }^{ 2 }$

9. $\int { \frac { { e }^{ x } }{ \left( 1+{ e }^{ x } \right) ^{ 2 } } }$ dx =_______+c

(a)

$\frac { 1 }{ 1+{ e }^{ x } }$

(b)

-$\frac { 1 }{ 1+{ e }^{ x } }$

(c)

1 + ex

(d)

$\frac { \left( 1+{ e }^{ x } \right) ^{ 3 } }{ 3 }$

10. A box contains 10 good articles and 6 with defects. One item is drawn at random. The probability that it is either good or has a defect is

(a)

$\frac { 64 }{ 64 }$

(b)

$\frac { 49 }{ 64 }$

(c)

$\frac { 40 }{ 64 }$

(d)

$\frac { 24 }{ 64 }$