The corner points of a bounded feasible region determined by the following system of linear inequalities x+3y≤60,x+y≥10, x≤y, x≥0, y≥0 are (0,10), (5,5), (15, 15) and (0, 20). Let z=2px+qy, p,q>0. If maximum of z occurs at both (15, 15) and (0, 20), then the relation between p and q is
Held on 26 May 2025 · Verified 13 Jul 2026.
3p=2q+1
3p=4q
6p=q
2p=3q
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 a random variable $X$ has the following probability distribution: | X | 0 | 1 | 2 | 3 | 4 | |---|---|---|---|---|---| | P(X) | k | 2k | 3k | k² | 6k² | , then Match List-I with List-II | List-I | List-II | |---|---| | (A) k | (I) 3/7 | | (B) $P(X < 2)$ | (II) 6/49 | | (C) $P(X > 3)$ | (III) 1/7 | | (D) $P(2 \leq X \leq 3)$ | (IV) 22/49 | Choose the correct answer from the options given below:
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
It is known that 3% of plastic bags manufactured in a factory are defective. Using the Poisson distribution on a sample of 100 bags, the probability of at most one defective bag is:
If R and S are two equivalence relations on a set A, then
Work through every CUET UG Algebra PYQ, year by year.