c⋅d=5∣a∣2+6a⋅b−8∣b∣2=0.
5+6a⋅b−8=0⇒a⋅b=21.
So cosθ=21⇒θ=3π.
Let a and b be two unit vectors. If the vectors c=5a−4b and d=a+2b are perpendicular to each other, then the angle between a and b is :
Held on 15 Jun 2023 · Verified 13 Jul 2026.
0
3π
4π
6π
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.