JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1

Let

\lambda \neq 0

be a real number. Let

\alpha, \beta

be the roots of the equation

14 x^{2}-31 x+3 \lambda=0

and

\alpha, \gamma

be the roots of the equation

35 x^{2}-53 x+4 \lambda=0

. Then

\frac{3 \alpha}{\beta}

and

\frac{4 \alpha}{\gamma}

are the roots of the equation

View answer and explanation

Correct option: D

49 x^{2}-245 x+250=0

The correct answer is D (

49 x^{2}-245 x+250=0

) because it is the quadratic equation formed with roots derived from the given conditions and relationships between the roots of the two equations.

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