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Let α1α2β1β2 be the roots of ax2 + bx + c = 0 and px2 + qx + r = 0 respectively. If the system of equations α1y+α2z = 0 and β1β2z = 0 has a non-trivial solution then prove that b2/q2 = ac/pr

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Applying componendo - dividendo

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