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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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If a,b,ca,b,c are in A.P. and if (b−c)x2+(c−a)x+a−b=0\left( {b - c} \right){x^2} + \left( {c - a} \right)x + a - b = 0 and 2(c+a)x2+(b+c)x=02\left( {c + a} \right){x^2} + \left( {b + c} \right)x = 0 have a common root then
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Correct option: B
a2,c2,b2{a^2},{c^2},{b^2} are in A.P.
Option A (a2,c2,b2{a^2},{c^2},{b^2} are in A.P.) is correct because it is derived from the condition that the given quadratic equations have a common root, and a,b,ca, b, c are in A.P.

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