Question
Mathematics Question on complex numbers
If the ratio of the roots of the equation px2+qx+r=0 is a:b, then ab(a+b)2=
A
(A) p2/qr
B
(B) pr/q2
C
(C) q2/pr
D
(D) pq/r2
Answer
(B) pr/q2
Explanation
Solution
Explanation:
Let roots are aα and bα ⇒ ( a + b ) α = -q/pabα2(a+b)2α2=rp⋅p2q2ab(a+b)2=rpq2