Question
The coefficients of ap and aq in
the expression of (1 + a)p+q are (i) Equal (ii) Equal with opposite signs (iii) Reciprocals of each other (iv) None of theseSolution
The coefficients of ap and aq in the expression of (1 + a) p+q We know, bp+1 = p+qCp × p and bq+1 = p+qCq × q Coefficient of ap = p+qCp = [p+q]!/p!q! and Coefficient of aq = p+qCq = [p+q]!/p!q! Therefore, coefficients of ap and aq in the expression of (1 + a)p+q are equal.
More Binomial Equation Questions
54% of 250 = 6 × 21 + √?
What will come in the place of question mark (?) in the given expression?
(18 × 8 + 24) × 4 = ?
(30 × 0.80)⁴ ÷ (2160 ÷ 60)⁴ × (54 × 16)⁴ = (6 × 4)?+5
(500 × 6 ÷ 10) - (√256 + 8) = ?
(2197)1/3 + (18)2 − 121 = ? − 69 × 5
?% of (168 ÷ 8 × 20) = 126
What value should come in the place of (?) in the following questions?
3(1/2) + 5(1/2) = ? + 4(3/8)
Relevant for Exams:
