Quiz about Official Sample Paper Cbse 2022

Question 1

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 2

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 3

Assertion (A): The acute angle between the line $$\bar{r}=\hat{i}+\hat{i}+2 \hat{k}+\lambda(\hat{i}-\hat{j})$$ and the $${x}$$-axis is $$\frac{\pi}{4}$$

Reason(R): The acute angle $$	heta$$ between the lines

$$\bar{r}=x_1 \hat{i}+y_1 \hat{j}+z_1\hat{k}+\lambda(a_1 \hat{i}+b_1 \hat{j}+c_1\hat{k})$$ and

$$\bar{r}=x_2 \hat{i}+y_2 \hat{j}+z_2 \hat{k}+\mu(a_2 \hat{i}+b_2 \hat{j}+c_2 \hat{k})$$

is given by

$$\cos 	heta=\frac{|a_1 a_2+b_1 b_2+c_1 c_2|}{\sqrt{a_1{ }^2+b_1{ }^{2}+c_1{ }^{2}} \sqrt{a_2{ }^{2}+b_2{ }^{2}+c_2{ }^{2}}}$$

Accepted Answer

Covalent bond

Answer

Both $${A}$$ and $${R}$$ are true and $${R}$$ is the correct explanation of $${A}$$.

Answer

Both $${A}$$ and $${R}$$ are true but $${R}$$ is not the correct explanation of $${A}$$.

Answer

A is true but $$R$$ is false.

Answer

A is false but $${R}$$ is true.

Question 4

If two vectors $$\vec{a}$$ and $$\vec{b}$$ are such that $$|\vec{a}|=2,|\vec{b}|=3$$ and $$\vec{a} \cdot \vec{b}=4$$, then $$|\vec{a}-2 \vec{b}|$$ is equal to

Accepted Answer

Covalent bond

Answer

$$2 \sqrt{6}$$

Answer

$$\sqrt{2}$$

Answer

$$24$$

Answer

$$2 \sqrt{2}$$

Question 5

If $${A}$$ is a square matrix of order 3 and $$|{A}|=5$$, then $$|{adj} A|=$$

Accepted Answer

Covalent bond

Answer

$$25$$

Answer

$$5$$

Answer

$$125$$

Answer

$$\frac{1}{5}$$

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

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