Quiz about QUARTERLY PREP - MCQ

Question 1

If $$|adj⁡(adj⁡A)|=|A|^9$$ , then the order of the square matrix A is

Accepted Answer

4

Answer

3

Answer

2

Answer

5

Question 2

If $$A^TA^{-1}$$ is symmetric, then $$A^2$$ =

Accepted Answer

$$\left(A^T\right)^2$$

Answer

$$A^{-1}$$

Answer

$$A^T$$

Answer

$$\left(A^{-1}\right)^2$$

Question 3

The area of the triangle formed by the complex numbers z,iz and z+iz in the Argand's diagram is

Accepted Answer

$$\frac{1}{2}\left|z\right|^2$$

Answer

$$\left|z\right|^2$$

Answer

$$\frac{3}{2}\left|z\right|^2$$

Answer

$$2\left|z\right|^2$$

Question 4

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 5

The product of all four values of $$\left(\cos\ \frac{\pi}{3}+i\ \sin\ \frac{\pi}{3}\right)^{\frac{3}{4}}$$ is

Accepted Answer

1

Answer

-2

Answer

-1

Answer

2

Question 6

According to the rational root theorem, which is not possible rational root of $$4x^7+2x^4-10x^3-5$$ ?

Accepted Answer

$$\frac{4}{5}$$

Answer

-1

Answer

$$\frac{5}{4}$$

Answer

5

Question 7

The domain of the function defined by $$f\left(x\right)=\sin^{-1}\sqrt[]{x-1}$$ is

Accepted Answer

[1,2]

Answer

[-1,1]

Answer

[0,1]

Answer

[-1,0]

Question 8

$$\sin\left( an^{-1}x ight)$$ ,|x|<1 is equal to

Accepted Answer

$$\frac{x}{\sqrt[]{1+x^2}}$$

Answer

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

Answer

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

Answer

$$\frac{1}{\sqrt[]{1+x^2}}$$

Question 9

The radius of the circle $$3x^2+by^2+4bx-6by+b^2=0$$ is

Accepted Answer

$$\sqrt[]{10}$$

Answer

1

Answer

3

Answer

$$\sqrt[]{11}$$

Question 10

Area of the greatest rectangle inscribed in the ellipse $$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$ is

Accepted Answer

2ab

Answer

ab

Answer

ab

Answer

ab

Question 11

The eccentricity of the ellipse $$\left(x-3\right)^2+\left(y-4\right)^2=\frac{y^2}{9}$$ is

Accepted Answer

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

Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

$$\frac{1}{3\sqrt[]{2}}$$

Answer

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

Question 12

If the two tangents drawn from a point P to the parabola $$y^2=4x$$ are at right angles then the locus of P is

Accepted Answer

x=-1

Answer

2x+1=0

Answer

2x-1=0

Answer

x=1

QUARTERLY PREP - MCQ

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