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Limits Continuity and Differentiability · 2018 · Shift 1

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2018 · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2018 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Q22.For every twice differentiable function $f : R \to [- 2, 2]$ with $(f (0))^{2} + (f^{'} (0))^{2} = 85$ , which of the following statement(s) is(are) TRUE?
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q23.Let f : R $\to$ R and g : R $\to$ R be two non-constant differentiable functions. If f'(x) = (e(f(x) $-$ g(x))) g'(x) for all x $\in$ R and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE?
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q25.The value of $((lo g_{2} 9)^{2})^{\frac{1}{l o g _{2} ( l o g _{2} 9 )}} \times (7)^{\frac{1}{l o g _{4} 7}}$ is ....................
Mathematics · Limits Continuity and Differentiability · Numerical