JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

\alpha

and

\beta

are the roots of the equation

x^2+p x+p^2+q=0

, then the value of

\alpha^2+\alpha \beta+\beta^2+q=?

View answer and explanation

Correct option: A

Option A (0) is correct because the expression simplifies to zero after substituting the sum and product of the roots.

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{x^2} - px + q = 0

{\alpha _1},{\beta _1}

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{x^2} + 4ax + 2 > 0

x

a

f\left( x \right) = a{x^2} + bx + c\;

\;f\left( { - 1} \right) < 1,f\left( 1 \right) > - 1,f\left( 3 \right) < - 4\;

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9{x^2} - 18\left| x \right| + 5 = 0

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