# The coefficient of xp and xq (p and q are positive integers) in the expansion of (1 + x)p + q are ______. - Mathematics

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The coefficient of xp and xq (p and q are positive integers) in the expansion of (1 + x)p + q are ______.

#### Options

• Equal

• Equal with opposite signs

• Reciprocal of each other

• None of these

#### Solution

The coefficient of xp and xq (p and q are positive integers) in the expansion of (1 + x)p + q are equal.

Explanation:

Coefficient of x p and x q in the expansion of (1 + x)p + q are p + qCp and p + qCq

And p + qCp and p + qCq  = ("p" + "q")/(("p")("q"))

Concept: Binomial Theorem for Positive Integral Indices
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#### APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 8 Binomial Theorem
Solved Examples | Q 19 | Page 140
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