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Limits Continuity and Differentiability · 2008 · Shift 2

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
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2008 · Shift 2
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2008 · Shift 2

2 Mathematics questions from this JEE Advanced paper

Q23.Consider the function $f : (- \infty, \infty) \to (- \infty, \infty)$ defined by $f (x) = \frac{x ^{2} - a x + 1}{x ^{2} + a x + 1}, 0 < a < 2.$ Which of the following is true?
Mathematics · Limits Continuity and Differentiability · MCQ
Q34.Let the function $g : (- \infty, \infty) \to (- \frac{π}{2}, \frac{π}{2})$ be given by $g (u) = 2 tan^{- 1} (e^{u}) - \frac{π}{2} .$ Then, $g$ is
Mathematics · Limits Continuity and Differentiability · MCQ