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  • If the ratio of the roots of the equation ax^2+bx+c=0 be p:q then (A) pqb^2+(p+q)^2ac=0 (B)pqb^2-(p+q)^2ac=0 (C) pqa^2-(p+q)^2bc=0 (D) None

If the ratio of the roots of the equation ax^2+bx+c=0 be p:q then (A) pqb^2+(p+q)^2ac=0 (B)pqb^2-(p+q)^2ac=0 (C) pqa^2-(p+q)^2bc=0 (D) None

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ax^2+bx+c=0\*Let;alpha,eta;are;roots;of;given;equation\* Given;that;fracalphaeta=fracpq\*Rightarrow eta=fracqp alpha\* Rightarrow alpha+eta=frac-ba\* Rightarrow alpha. eta=fracca\*Rightarrow alpha+fracqpalpha=frac-baRightarrow alpha=fracfrac-ba1+fracqp\* Rightarrow alpha. fracqpalpha=fraccaRightarrow alpha^2= fracpcqa\* Rightarrow aalpha^2+balpha+c=0\* Rightarrow put;values ;of;alpha;and;alpha^2\* Rightarrow pqb^2-ac(p+q)^2=0

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Deependra Verma

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