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Let `alpha_(1),alpha_(2) and beta_(1),beta_(2)` be the roots of `ax^(2) + bx + c = 0 and px^(2) + qx + 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 a)`b^(2) pr = q^(2) ac` b)`bpr^(2) = qac^(2)` c)`bp^(2)r = qa^(2)c` d)None of these

A

`b^(2) pr = q^(2) ac`

B

`bpr^(2) = qac^(2)`

C

`bp^(2)r = qa^(2)c`

D

None of these

Text Solution

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The correct Answer is:
A
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