SolveIt — Your JEE Advanced Companion

§ Algebra · Binomial Theorem

01 / 07

AlgebraBinomial TheoremMuti CorrectVery Hard

Q5.Let

\mathbb{R}

denote the set of all real numbers. Consider the polynomial function

f:\mathbb{R}\rightarrow\mathbb{R}

defined by

f(x)=\frac{d^{10}}{dx^{10}}\left((x^{2}-1)^{10}\right),

for all

x\in\mathbb{R}

. Here

\frac{d^{10}}{dx^{10}}\left((x^{2}-1)^{10}\right)

is the

10^{\text{th}}

order derivative of the function

(x^{2}-1)^{10}

. Then which of the following statements is (are) TRUE?

citeJEE Advanced · 2026 · Paper 2

2026id · 384f1efb