Equation 14x^2 - 31x + 3λ = 0 having roots a.β and 14x^2 - 38x + 4λ = 0 having roots a, γ where a ≠ 0 t - Sarthaks eConnect

Equation 14x² - 31x + 3λ = 0 having roots a.β and 14x² - 38x + 4λ = 0 having roots a, γ where a ≠ 0 then the quadratic equation having roots \(\frac{3\alpha}{\beta}, \frac{4\alpha}\gamma\) is

(1) 49x²- 140x + 100 = 0

(2) 49x²- 70x + 100 = 0

(3) 49x² + 140x + 100 = 0

(4) 49x² + 70x + 100 = 0

Equation 14x^2 - 31x + 3λ = 0 having roots a.β and 14x^2 - 38x + 4λ = 0 having roots a, γ where a ≠ 0 t

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