If α,β are the roots of ax2+bx+c=0;α+h,β+h are the roots of px2+qx+r=0; and D1,D2 the respective discriminants of these equation then D1:D2=
a2p2
b2q2
c2r2
None of these
Let, A=α+h and B=β+h, then
A−B=(α+h)−(β+h)=α−β⇒(A−B)2=(α−β)2⇒(A+B)2−4AB=(α+β)2−4αβ⇒q2p2−4rp=b2a2−4ca⇒b2−4aca2=q2−4prp2⇒D1a2=D2p2⇒D1D2=a2p2