Relations and Functions

JEE Main · Mathematics · 17 past questions

These are the board's own papers. 219 more board questions reprinted in the books we use in class are for signed-in students: sign in.

5 of 17 · show all

1. Q1 2026 2 Apr Shift 1

   If the domain of the function $f(x)=\sqrt{\log_{(0.6)}\left(\left|\dfrac{2x-5}{x^2-4}\right|\right)}$ is…

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2. Q11 2026 6 Apr Shift 2

   Let $f: \mathbb{R} \to \mathbb{R}$ be such that $f(xy) = f(x)f(y)$, for all $x, y \in \mathbb{R}$ and…

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3. Q12 2026 6 Apr Shift 2

   $Let R = {(x, y) \in N \times N : \log_e(x+y) \le 2}. Then the minimum number of elements, required to be…$

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4. Q15 2026 8 Apr Shift 2

   Let $f:(1,\infty)\to\mathbb{R}$ be a function defined as $f(x)=\dfrac{x-1}{x+1}$. Let $f^{i+1}(x)=f(f^i(x))$…

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5. Q17 2026 8 Apr Shift 2

   Let $f$ be a polynomial function such that…

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