The ratio of the coefficients of xp and xq in the expansion of (1 + x ) p + q is …….. 0 votes. 1 .4k views. asked Feb 20, 2018 in Class XI Maths by rahul152 (-2,838 points) The ratio of the coefficients of x p and x q in the expansion of (1 + x ) p + q is …….. binomial theorem.
AIEEE 2002: The coefficients of xp and xq ( p and q are positive integers) in the expansion of (1 + x ) p + q are (A) equal (B) equal with opposite signs Tardigrade Pricing, SolutionShow Solution. Coefficient of xp in the expansion of [left ( 1 + x right)^ { p + q }] is [ {}^ { p + q } C_ p ] . Hence, the ratio of the coefficients of xp and xq in the expansion of [left ( 1 + x right)^ { p + q }] is 1 : 1 . Is there an error in this question or solution?, The coefficients of $${ x ^ p }$$ and $${ x ^ q }$$ in the expansion of $${left( { 1 + x AIEEE 2002 | undefined | Mathematics | JEE Main, The coefficients of x ^ p and x ^ q ( p and q are positive integers) in the expansion of (1 + x )^ p + q are. 11th.
Coefficient of xp and xq in the expansion of (1 + x ) p + q are p + q C and p + qC pq p + q p + q C = p + qCand pq = p q Hence (a) is the correct answer. BINOMIAL THEOREM 141 Example 20 The number of terms in the expansion of (a + b + c)n, where n ? N is (n + 1 ) ( n +2) (A) (B) n + 1 (C) n + 2 (D)(n + 1 ) n Solution A is the correct choice.
The ratio of the coefficients of xp and xq in the expansion of (1 + x ) p + q is_____ [Hint: p + qCp = p + qCq] T i l R b E u C p N re © e b o t t ? x 3 ? + 2? 32.
The ratio of the coefficients of xp and xq in the expansion of (1 + x ) p + q is …..
3/26/2018 · Expand and we have that. x ^2 – ( p + q ) x + pq = r^2 – (p+ q )r + pq. x ^2 – ( p + q )k – r^2 + ( p + q )r = 0. The sum of the roots = ( p + q ) / 1 = p + q . The product of the roots is [ -r^2 + ( p + q )r] / 1 = -r^2 + ( p + q )r. Since r is one solution. Let s be the other and we have. So. r + s = p + q .
The fact that x = 0 is a regular singular point of Eq. ( 1 ) means that xQ ( x )/ P ( x ) = xp ( x ) and x2R( x )/ P ( x ) = x2q( x ) have ?nite limits as x ? 0, and are analytic at x = 0. Thus they have convergent power series expansions of the form xp ( x ) = ? n=0 pnx n, x2q( x ) = ? n=0 qnx n, (2) on some interval | x | 0. To make the quantities xp ( x )
