EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Theory of Equation>WBJEE 2019>Q 8

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Let $f$ and $g$ be differentiable on the interval $I$ and let $a, b \in I, a < b .$ Then

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Important Questions on Theory of Equation

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Theory of Equation>WBJEE 2020>Q 9

Let

f (x) = x^{13} + x^{11} + x^{9} + x^{7} + x^{5} + x^{3} + x + 12

. Then

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Theory of Equation>WBJEE 2020>Q 10

The equation

x^{{(\log_{3} x)}^{2} - \frac{9}{2} \log_{3} x + 5} = 3 \sqrt{3}

has

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Theory of Equation>WBJEE 2019>Q 11

Let

f (x) = x^{4} - 4 x^{3} + 4 x^{2} + c, c \in R .

Then,