Quiz about Official Sample Paper Cbse 2022

Question 1

If $${A}=[{a}_{{ij}}]$$ is a skew-symmetric matrix of order $${n}$$, then

Accepted Answer

Covalent bond

Answer

$$a_{i j}=0$$, where $$i=j$$

Answer

$$[a_{i j}]=$$

$$\frac{1}{a_{j i}} \forall i, j$$

Answer

$$a_{i j} 
eq 0 \forall i, j$$

Answer

$$a_{i j} 
eq 0$$ where $$i=j$$

Question 2

If $${A}$$ is a square matrix of order $$3,|A^{\prime}|=-3$$, then $$|A A^{\prime}|=$$

Accepted Answer

Covalent bond

Answer

$$9$$

Answer

$$-9$$

Answer

$$3$$

Answer

$$-3$$

Question 3

The area of a triangle with vertices $${A}, {B}, {C}$$ is given by

Accepted Answer

Covalent bond

Answer

$$|{A B} 	imes {A C}|$$

Answer

$$\frac{1}{2}|{A B} 	imes {A C}|$$

Answer

$$\frac{1}{4}|{A C} 	imes {A B}|$$

Answer

$$\frac{1}{8}|{A C} 	imes {A B}|$$

Question 4

If $${m}$$ and $${n}$$, respectively, are the order and the degree of the differential equation

$$\frac{d}{d x}[(\frac{d y}{d x})]^{4}=0, 	ext { then } {m}+{n}=$$

Accepted Answer

Covalent bond

Answer

$$3$$

Answer

$$1$$

Answer

$$2$$

Answer

$$4$$

Question 5

The solution set of the inequality $$3 x+5 y<4$$ is

Accepted Answer

Covalent bond

Answer

An open half-plane containing the origin.

Answer

an open half-plane not containing the origin.

Answer

the whole $$X Y$$-plane not containing the line $$3 x+5 y=4$$.

Answer

a closed half plane containing the origin.

Official Sample Paper Cbse 2022 Cbse Class 12 Maths Problems and Solutions