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Question: If the roots of ax<sup>2</sup> + bx + c = 0 are in the ratio m : n, then-...

If the roots of ax2 + bx + c = 0 are in the ratio m : n, then-

A

mna2 = (m + n)c2

B

mnb2 = (m + n) ac

C

mnb2 = (m + n)2ac

D

None of these

Answer

mnb2 = (m + n)2ac

Explanation

Solution

Let roots are am and an,

then a(m + n) = – b/a ….(i)

a2mn = c/a ....(ii)

On solving equation (i) and (ii)

mnb2 = (m + n)2ac