Let \\alpha_1,\\alpha_2 and \\beta_1,\\beta_2 be the roots of a x^{2}+b x+c=0 and p x^{2}+q x+r=0 respectively. If the system of equations \\alpha_{1} y+\\alpha_{2} z=0 and \\beta_{1} y+\\beta_{2} z=0 has {a} non-trivial solution, then

Manipal Entrance Test 2013 Math Paper

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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 α1y+α2z=0 and β1y+β2z=0 has a non-trivial solution, then

b2pr=q2ac
bpr2=qac2
bp2r=qa2c
None of these

Validate

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α1	α2
β1	β2