CUET Mathematics 2022 16 July Shift 2 PYQs

81

512

18

27

4 and 11

8 and 5

4 and 5

4 and -3

A and B Only

A, B and C only

C and D only

A and D only

0

$-2ab(a+b)$

1

$2ab(a-b)$

$x + 2y = 3$

$-x + 2y + 1 = 0$

$x + 2y = 1$

$x - 2y = 1$

-1

0

1

2

2

0

-1

3

$\left(\frac{x-1}{x+1}\right) e^x + c$, where c is a constant of integration

$\left(\frac{1-x}{x+1}\right) e^x + c$, where c is a constant of integration

$\left(\frac{x}{x+1}\right) e^x + c$, where c is a constant of integration

$\frac{2e^x}{x+1} + c$, where c is a constant of integration

$x$

$\frac{-1}{x}$

$\frac{1}{x}$

1

2 and 1

2 and 2

2 and 3

2 and not defined

A-II, B-I, C-III, D-IV

A-III, B-I, C-IV, D-II

A-II, B-IV, C-III, D-I

A-III, B-II, C-I, D-IV

$\frac{3}{8}$

$\frac{3}{4}$

$\frac{1}{4}$

$\frac{1}{2}$

0.23

0.1

1.6

2.3

$\frac{a^2}{4}(\pi - 1)$

$\frac{a^2}{4}(\pi - 2)$

$\frac{a^2}{2}(\pi - 2)$

$\frac{a^2}{2}(\pi - 1)$

$\log\left|\frac{x^2-4x+4}{x-1}\right| + c$

$\log\left|\frac{x-1}{x-2}\right| + c$

$\log\left|\frac{x^2-2x+1}{x-2}\right| + c$

$\log\left|\frac{x-2}{x+1}\right| + c$

A and C only

B and D only

B and C only

C and D only

(1,3) only

(2,3) only

(1,2) only

(1,3) and (2,3)

A-I, B-III, C-IV, D-II

A-II, B-I, C-IV, D-III

A-III, B-I, C-IV, D-II

A-III, B-II, C-IV, D-I

A, B only

B, C only

A, C, D only

A, B, D only

A-I, B-II, C-III, D-IV

A-I, B-IV, C-III, D-II

A-IV, B-III, C-II, D-I

A-III, B-IV, C-I, D-II

$\frac{-\pi}{6}$

$\frac{2\pi}{3}$

$\frac{3\pi}{2}$

$\frac{-3\pi}{2}$

symmetric matrix

skew-symmetric matrix

null matrix

identity matrix

$m \times n$

$n \times m$

$n \times n$

$m \times m$

2

8

14

17

$\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 2 \\ 3 & 4 & 1 \end{bmatrix}$

$\begin{bmatrix} 1 & 1/2 & 1/3 \\ 1/2 & 1 & 1/2 \\ 1/3 & 1/4 & 1 \end{bmatrix}$

$\frac{1}{16}\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 4 \\ 3 & 2 & 1 \end{bmatrix}$

$-\frac{1}{24}\begin{bmatrix} 1 & 2 & 3 \\ 2 & 1 & 2 \\ 3 & 4 & 1 \end{bmatrix}$

B and C only

C and D only

A and C only

B and D only

differentiable at every point in its domain.

not differentiable at $x = 0$.

not differentiable at $x = 1$.

not differentiable at any of the point in its domain.

$(-\infty, \infty)$

$(-\infty, 0)$

$(2, \infty)$

$(0, 2)$

$m : a$

$a : m$

$m : \sqrt{a^2 + m^2}$

$1 : 1$

1

2

3

0

$\frac{\pi}{2}$

$\frac{\pi}{4}$

$\frac{\pi}{6}$

$\pi$

0

2

3

4

A-I, B-II, C-III, D-IV

A-II, B-I, C-III, D-IV

A-II, B-IV, C-III, D-I

A-III, B-IV, C-II, D-I

10

12

-2

-8

0

1

$\sqrt{2}$

$\sqrt{3}$

$\frac{1}{2}|\vec{a} + \vec{b}|$

$\frac{1}{2}|\vec{a} - \vec{b}|$

$\frac{1}{4}|\vec{a} + \vec{b}|$

$\frac{1}{4}|\vec{a} - \vec{b}|$

A and D only

B and D only

B and C only

B and E only

C, D, E, A, B

C, D, A, B, E

A, B, C, D, E

C, B, D, E, A

$(1, 1, 1)$

$\left(\frac{3}{\sqrt{3}}, \frac{3}{\sqrt{3}}, \frac{3}{\sqrt{3}}\right)$

$\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right)$

$(2, 2, 2)$