If the ratio of the roots of the equation $x^{2}$ +px+q=0 be equal to the ratio of the roots of $x^{2}$ +lx+m=0. Then

p² m = q² l

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pm² = q² l

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p² l = q² m

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p² m = l²q

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Solution

The correct option is A
p² m = q² l

Let the ratio of roots be λ:1, then $\frac{(λ + 1)^{2}}{λ}$ = $\frac{p^{2}}{q}$ = $\frac{l^{2}}{m}$

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