CUET UG 2025 — Mathematics Algebra
Consider the linear programming problem(LPP):
Minimize Z=x+y
x+2y≤4,
3x+y≥3,
4x+3y≥6,
x,y≥0.
Which of the following is correct for the above linear programming problem (LPP):
(A) The LPP has a bounded feasible region.
(B) The LPP has a unique optimal solution.
(C) The optimal value of the LPP exists at the point (3/2, 0)
(D) The corner points of the feasible region are (3/2, 0), (3/5, 6/5), (2/5, 6/5) and (4, 0)
Choose the correct answer from the options given below:
Held on 14 May 2025 · Verified 13 Jul 2026.
(A), (B) and (D) only
(A), (B) and (C) only
(A), (B), (C) and (D)
(C) and (D) only
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
If f(x) = 2x + 3, then f⁻¹(x) is:
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
If $A = [a_{ij}]$ be square matrix of order 3, such that $a_{ij} = i + j$, $\forall i, j$ then which of the following are correct? (A) A is a skew-symmetric matrix. (B) A is a non-singular matrix. (C) The inverse of A does not exist. (D) A is a symmetric matrix. Choose the correct answer from the options given below:
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by $f(x) = \frac{x}{x^2+1}$ is (where $\mathbb{R}$ is a set of real number)
Assume $P$, $Q$, $R$ and $W$ are matrices of order $3 \times 3$, $a \times 4$, $b \times c$ and $d \times a$ respectively. If $PQ + WR$ is well defined, then the value of $ab + cd$ is:
Work through every CUET UG Algebra PYQ, year by year.