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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1
If a root of the equation ax2+bx+c=0a{x^2} + bx + c = 0 be reciprocal of a root of the equation a′x2+b′x+c′=0a'{x^2} + b'x + c' = 0, then
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Correct option: A
(cc′−aa′)2=(ba′−cb′)(ab′−bc′){\left( {cc' - aa'} \right)^2} = \left( {ba' - cb'} \right)\left( {ab' - bc'} \right)
Option A ((cc′−aa′)2=(ba′−cb′)(ab′−bc′){\left( {cc' - aa'} \right)^2} = \left( {ba' - cb'} \right)\left( {ab' - bc'} \right)) is correct because it represents the condition when one root of the first quadratic is the reciprocal of a root of the second quadratic.

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