Let S be the set of the first 11 natural numbers. Then the number of elements in A = {B ⊆ S : n(B) ≥ 2 and the product of all elements of B is even} is
Let S be the set of the first 11 natural numbers. Then the number of elements in A = {B […]
Let S be the set of the first 11 natural numbers. Then the number of elements in A = {B […]
Let cos(α + β) = -1/10 and sin(α – β) = 3/8, where 0 < α < π/3 and 0
Let [.] be the greatest integer function. If α = ∫₀⁶⁴ (x¹/³ – [x¹/³]) dx, then 1/π ∫₀ᵅπ (sin²θ /
Let vector a = √2i – j + λk make an obtuse angle with vector b and angle θ with
Suppose a, b, c are in A.P. and a², 2b², c² are in G.P. If a < b < c
Let S={z∈ℂ: 4z²+z̄=0}. Find sum of |z|² for all z in S | JEE Main Mathematics NEETJEE MathComplex Numbers Q742MCQComplex
If the mean deviation about the median of k, 2k, 3k, …, 1000k is 500 then k² is equal to
Let P(10,2√15) be on hyperbola x²/a²−y²/b²=1 with foci S,S’. Latus rectum=8. Find square of area of triangle PSS’ | JEE
Let L be the line (x+1)/2=(y+1)/3=(z-3)/6 and S be points on L whose distance from line (x+1)/2=(y+1)/3=(z-9)/0 along L is
Area of region {(x,y): 4x²+y²≤8 and y²≤4x} equals | JEE Main Mathematics NEETJEE Math Integration Area Q738 MCQ Integral Calculus