If in the expansion of (1 + x)^(p) (1 - x)^(q), the coefficients of x and x² are 1 and -2, respectively, then p² + q² is equal to:

Binomial Theorem and Its Simple Applications: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q244

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If in the expansion of

(1 + x)^p (1 - x)^q

, the coefficients of

x

and

x^2

are 1 and -2, respectively, then

p^2 + q^2

is equal to: