JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1

{x^2} - 2r\;{a_r}x + r = 0;r = 1,\;2,\;3

are three quadratic equations of which each pair has exactly one root common, then the number of solutions of the triplet

\left( {{a_1},{a_2},{a_3}} \right)

View answer and explanation

Correct option: B

Option B is correct because there are two possible sets of triplets (a1, a2, a3) that satisfy the given conditions of the quadratic equations having exactly one root in common.

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is The polynomials

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and

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{\left( {x - 1} \right)^3}

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