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Question

Question: If the ratio of the roots of the equation x<sup>2</sup> + bx + c = 0 is same as that of x<sup>2</sup...

If the ratio of the roots of the equation x2 + bx + c = 0 is same as that of x2 + qx + r = 0, then-

A

r2b = qc­2

B

r2c = qb2

C

c2r = q2b

D

b2r = q2c

Answer

b2r = q2c

Explanation

Solution

αβ\frac{\alpha}{\beta} = γδ\frac { \gamma } { \delta } αβ(α+β)2\frac{\alpha\beta}{(\alpha + \beta)^{2}}=γδ(γ+δ)2\frac{\gamma\delta}{(\gamma + \delta)^{2}}Ž cb2\frac{c}{b^{2}} = rq2\frac{r}{q^{2}}

Ž cq2 = 2r