JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

If the sum of the roots of the equation

a{x^2} + bx + c = 0

is equal to the sum of the squares of their reciprocals of their reciprocals, then

View answer and explanation

Correct option: A

{c^2}b,{a^2}c,{b^2}a

are in A.P.

Option A (

{c^2}b,{a^2}c,{b^2}a

are in A.P.) is correct because the given condition leads to the relationship

2a^2c = ab^2 + bc^2

, which is the condition for an arithmetic progression.

More Questions from QUADRATIC EQUATIONS

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{x^2} - px + q = 0

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

x

a

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

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

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