JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

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Analyzing +4 | -1

If the equation

{x^2} + px + q = 0

has roots

u

and

υ

where

p,q

are non-zero constants. Then,

View answer and explanation

Correct option: A

q{x^2} + px + 1 = 0

has roots

\frac{1}{u}

and

\frac{1}{v}

Option A (

q{x^2} + px + 1 = 0

has roots

\frac{1}{u}

and

\frac{1}{v}

) is correct because if

u

and

v

are roots of

{x^2} + px + q = 0

, then the equation with roots

\frac{1}{u}

and

\frac{1}{v}

is obtained by substituting

x = \frac{1}{y}

in the original equation.

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