Question
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