Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 5 - Quadratic Equations>Exercise>Q 26

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KVPY Aptitude Test - Stream SA

IMPORTANT

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If the equation $\cot^{4} x - 2 {cosec}^{2} x + a^{2} = 0$ has at least one solution then, sum of all possible integral values of $a$ is equal to

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Important Questions on Quadratic Equations

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KVPY Aptitude Test - Stream SA

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Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 5 - Quadratic Equations>Exercise>Q 27

If the quadratic equation

4 x^{2} - 2 (a + c - 1) x + a c - b = 0; (a > b > c)

is given, then

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KVPY Aptitude Test - Stream SA

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Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 5 - Quadratic Equations>Exercise>Q 28

If the equation

|x^{2} + b x + c| = k

has four real roots, then

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KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 5 - Quadratic Equations>Exercise>Q 29

P (x)

is a polynomial with integral coefficients such that for four distinct integers

a, b, c, d : P (a) = P (b) = P (c) = P (d) = 3

. If

P (e) = 5

(

e

is an integer), then

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KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 5 - Quadratic Equations>Exercise>Q 30

The value of the expression

x^{4} - 8 x^{3} + 18 x^{2} - 8 x + 2

when

x = 2 + \sqrt{3}