CUET Mathematics 2026 25th May Shift 1 PYQs

The system of equations

$x + ky = 0$

$3x + 5y = 0$

has infinitely many solutions, then k is equal to

If $A = \begin{bmatrix} x & 1 \\ y & -1 \end{bmatrix}, B = \begin{bmatrix} 1 & -1 \\ 2 & -1 \end{bmatrix}$ and $(A+B)^2 = A^2 + B^2$, then

If A is a square matrix such that $A^2 = A$ then which of the following statements are TRUE ? (Where I is an identity matrix of same order as A)

(A) $(I+A)^4 = I + 15A$

(B) $(I+A)^2 = I + 3A$

(C) $(I+A)^6 = I + 30A$

(D) $(I+A)^3 = I + 7A$

Choose the correct answer from the options given below: