JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Easy

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Application +4 | -1

\alpha, \beta

are the roots of the equation

x^2-3 x+5=0

and

\gamma

\delta

are the roots of the equation

x^2+5 x-3=0

, then the equation whose roots are

\alpha \gamma+\beta \delta

and

\alpha \delta+\beta \gamma

, is

View answer and explanation

Correct option: D

x^2+15 x+158=0

Option D

x^2+15 x+158=0

is correct because it is the quadratic equation formed using the sum and product of the roots

\alpha \gamma + \beta \delta

and

\alpha \delta + \beta \gamma

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