1 Quadratic Equations
Let α1?,α2? and β1?, β2? be the roots of ax2+bx+c=0 and px2+qx+r=0 respectively. If the system of equations α1?y+α2?z=0 and β1?y+β2?z=0 has a non-trivial solution, then
1) 1b2pr=q2ac
2) bpr2=qac2
3) bp2r=qa2c
4) None of these
Given system has non-trivial solution, then
⇒b2p2ar=a2q2cp
⇒b2pr=q2ac
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