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Limits Continuity and Differentiability · 2005 · Shift 0

3 Mathematics questions from this JEE Main paper

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JEE Main
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2005 · Shift 0
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2005 · Shift 0

3 Mathematics questions from this JEE Main paper

Q63.Suppose $f (x)$ is differentiable at x = 1 and $h \to 0 lim \frac{1}{h} f (1 + h) = 5$ , then $f^{'} (1)$ equals
Mathematics · Limits Continuity and Differentiability · MCQ
Q64.Let $α$ and $β$ be the distinct roots of $a x^{2} + b x + c = 0$ , then $x \to α lim \frac{1 - c o s ( a x ^{2} + b x + c )}{( x - α ) ^{2}}$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q65.If $f$ is a real valued differentiable function satisfying $∣ f (x) - f (y) ∣ \leq (x - y)^{2}$ , $x, y \in R$ and $f (0)$ = 0, then $f (1)$ equals
Mathematics · Limits Continuity and Differentiability · MCQ