EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Theory of Equation>WBJEE 2018>Q 6

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IMPORTANT

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If $b_{1} b_{2} = 2 (c_{1} + c_{2})$ and $b_{1}, b_{2}, c_{1}, c_{2}$ are all real numbers, then at least one of the equations $x^{2} + b_{1} x + c_{1} = 0$ and $x^{2} + b_{2} x + c_{2} = 0$ has

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Important Questions on Theory of Equation

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Theory of Equation>WBJEE 2019>Q 7

Let

a, b, c

be real numbers such that

a + b + c < 0

and the quadratic equation

a x^{2} + b x + c = 0

has imaginary roots. Then

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

Let

f

and

g

be differentiable on the interval

I

and let

a, b \in I, a < b .

Then

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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,