JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1

The condition that

{x^3} - p{x^2} + qx - r = 0

may have two of its roots equal in magnitude but of opposite sign, is

View answer and explanation

Correct option: A

r = pq

Option A (

r = pq

) is correct because if two roots are equal in magnitude but opposite in sign, one root is

p

, and substituting this into the equation gives

r = pq

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