#### 12th Standard Maths English Medium Free Online Test Creative One Mark Questions with Answer Key

12th Standard

Reg.No. :
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Maths

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

10 x 1 = 10
1. If A, B and C are invertible matrices of some order, then which one of the following is not true?

(a)

(b)

(c)

det A-1 = (det A)-1

(d)

(ABC)-1 = C-1B-1A-1

2. If A = $\left[ \begin{matrix} 2 & 3 \\ 5 & -2 \end{matrix} \right]$ be such that λA−1 =A, then λ is

(a)

17

(b)

14

(c)

19

(d)

21

3. According to the rational root theorem, which number is not possible rational root of 4x7+2x4-10x3-5?

(a)

-1

(b)

$\frac { 5 }{ 4 }$

(c)

$\frac { 4 }{ 5 }$

(d)

5

4. If sin-1 x+sin-1 y+sin-1 z=$\frac{3\pi}{2}$, the value of x2017+y2018+z2019$-\frac { 9 }{ { x }^{ 101 }+{ y }^{ 101 }+{ z }^{ 101 } }$is

(a)

0

(b)

1

(c)

2

(d)

3

5. The equation of the normal to the circle x2+y2−2x−2y+1=0 which is parallel to the line
2x+4y=3 is

(a)

x+2y=3

(b)

x+2y+3= 0

(c)

2x+4y+3=0

(d)

x−2y+3= 0

6. If $[\vec { a } ,\vec { b } ,\vec { c } ]=1$$\frac { \vec { a } .(\vec { b } \times \vec { c } ) }{ (\vec { c } \times \vec { a } ).\vec { b } ) } +\frac { \vec { b } .(\vec { c } \times \vec { a } ) }{ (\vec { a } \times \vec { b } ).\vec { c } } +\frac { \vec { c } .(\vec { a } \times \vec { b } ) }{ (\vec { c } \times \vec { b } ).\vec { a } }$ is

(a)

1

(b)

-1

(c)

2

(d)

3

7. The abscissa of the point on the curve $f\left( x \right) =\sqrt { 8-2x }$ at which the slope of the tangent is -0.25 ?

(a)

-8

(b)

-4

(c)

-2

(d)

0

8. If w (x, y) = xy, x > 0, then $\frac { \partial w }{ \partial x }$ is equal to

(a)

xy log x

(b)

y log x

(c)

yxy-1

(d)

x log y

9. The value of $\int _{ 0 }^{ \frac { \pi }{ 6 } }{ { cos }^{ 3 }3xdx }$

(a)

$\frac{2}{3}$

(b)

$\frac{2}{9}$

(c)

$\frac{1}{9}$

(d)

$\frac{1}{3}$

10. The solution of the differential equation 2x$\frac{dy}{dx}-y=3$represents

(a)

straight lines

(b)

circles

(c)

parabola

(d)

ellipse