JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

If the sum of the roots of

a x^2+b x+c=0

is equal to the sum of the squares, then

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Correct option: A

2 a c=a b+b^2

Option A (2ac = ab + b²) is correct because it is derived from equating the sum of roots to the sum of squares of roots.

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\log _7 \log _5(\sqrt{x+5}+\sqrt{x})=0

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{x^2} - px + q = 0

{\alpha _1},{\beta _1}

{x^2} - qx + p = 0,

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

x

a

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\;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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