CUET 2026 Mathematics May 19 Shift 2 Question Paper- Download Answer Key and Solution PDF

If \[ \begin{bmatrix} 2x+1 & 5x
0 & y^2+1 \end{bmatrix} = \begin{bmatrix} x+3 & 10
0 & 26 \end{bmatrix} \]
then the possible values of \(x+y\) are:

• (A) \(2\ and\ 5\)
• (B) \(5\ and\ -1\)
• (C) \(7\ and\ -3\)
• (D) \(2\ and\ -5\)

Given a matrix \(A\) of order \(3\times3\). If \[ |A|=3 \]
then the value of \[ |A(\operatorname{adj}A)| \]
is:

• (A) \(3\)
• (B) \(27\)
• (C) \(9\)
• (D) \(81\)

For the L.P.P. Maximize \[ z=10x+6y \]
subjected to:
\[ 3x+y\leq12 \]
\[ 2x+5y\leq34 \]
\[ x,y\geq0 \]

Then the feasible region represented by system of inequalities is:

• (A) Unbounded in first quadrant
• (B) Bounded in first quadrant
• (C) Unbounded in second quadrant
• (D) Not possible (Empty)

A unit vector perpendicular to the vectors \[ \hat i-\hat j \]
and \[ \hat i+\hat j \]
is:

• (A) \(\hat k\)
• (B) \(-\dfrac{\hat i+\hat j}{\sqrt2}\)
• (C) \(\dfrac{\hat i-\hat j}{\sqrt2}\)
• (D) \(\dfrac{\hat i+\hat j}{\sqrt2}\)

The relation \(R\) on the set of real numbers defined by \[ R=\{(a,b):a\leq b^2\} \]
is:
[(A)] Reflexive
[(B)] Not symmetric
[(C)] Neither reflexive nor transitive
[(D)] Transitive
Choose the correct answer from the options given below:

• (A) \((A)\ and\ (D)\ only\)
• (B) \((A),\ (B)\ and\ (D)\ only\)
• (C) \((B)\ and\ (C)\ only\)
• (D) \((A)\ and\ (C)\ only\)

If the system of equations \[ x-3y+5z=3 \]
\[ x-2y+4z=4 \]
\[ 2x-7y+\lambda z=5 \]

has infinite number of solutions, then the value of \(\lambda\) is:

• (A) \(2\)
• (B) \(4\)
• (C) \(5\)
• (D) \(11\)

The sum of order and degree of the differential equation \[ y=x\frac{dy}{dx}+2\sqrt{1+\left(\frac{dy}{dx}\right)^2} \]
is:

• (A) \(1\)
• (B) \(2\)
• (C) \(3\)
• (D) \(4\)

The function \[ f:\mathbb R\to\mathbb R,\qquad f(x)=|x| \]
(\(\mathbb R\) is the set of real numbers) is:

• (A) Injective but not surjective
• (B) Surjective but not injective
• (C) Both injective and surjective
• (D) Neither injective nor surjective

The area of region bounded by the curve \[ y^2=4ax \]
and the straight line \[ x=2a,\qquad a>0 \]
in the first quadrant is:

• (A) \(\dfrac{8a^2}{3}\ sq. units\)
• (B) \(\dfrac{8\sqrt2\,a^2}{3}\ sq. units\)
• (C) \(\dfrac{32a^2}{3}\ sq. units\)
• (D) \(\dfrac{64a^2}{3}\ sq. units\)

Let \(X\) denote the number of heads in a simultaneous toss of three coins, then \[ P(0is:

• (A) \(\dfrac12\)
• (B) \(\dfrac34\)
• (C) \(\dfrac78\)
• (D) \(1\)