alleryCoefficient of x² in expansion of (1 + 2x)¹⁰:
A10
B180 (= C(10,2) × 4 = 45 × 4)
C20
D45
Answer & Solution
Correct answer: B. 180 (= C(10,2) × 4 = 45 × 4)
(1 + 2x)¹⁰: coefficient of x^r = C(10, r) × 2^r.
For r=2: C(10,2) × 4 = 45 × 4 = 180.
Keep practising JEE Main 2023 Mixed
Browse all JEE Main 2023 Mixed questions for GRE, or explore more Mathematics topics.
Related questions
Integration: ∫ tan(x) dx =If f(x) = x³ - 3x² + 2, find x where local maximum occurs:For y = cos x, y'' + y =Find eigenvalues of [[3, 1], [1, 3]]:In a triangle ABC, if a = 2, b = 3, C = 60°, find c (using cosine rule):sin(75°) =Roots of equation x² - 5x + 6 = 0:Distance from point (1, 2, 3) to plane x + y + z - 6 = 0: