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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy
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Application +4 | -1
If the roots of the equation 1x+p+1x+q=1r\frac{1}{{x + p}} + \frac{1}{{x + q}} = \frac{1}{r} are equal in magnitude but opposite in sign, then the product of the roots will be
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Correct option: B
−(p2+q2)2- \frac{{\left( {{p^2} + {q^2}} \right)}}{2}
Option B (−(p2+q2)2- \frac{{{\left( {{{{p^2} + {q^2}}}} \right)}}}{{{{2}}}}) is correct because it is the product of the roots calculated using the given condition that the roots are equal in magnitude but opposite in sign.

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