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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If are the real roots of and are the real roots of then is divisible by

Answer: (A),(B)

Solution

Since :

(a-c)(b-c)=+pc+1=+qc+1)+(p-q)c=(p-q)c,

(a+d)(b+d)=-pd+1=+qd+1)-(p+q)d=-(p+q)d .

Multiplying and using :

(a-c)(b-c)(a+d)(b+d)=--=- .

W

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Question ID VK-108031