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Question

If one of the equation ax2 + bx + c = 0 is three times times the other, then b2 : ac =

(a) 3 : 1
(b) 3 : 16
(c) 16 : 3
(d) 16 : 1

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Solution

Let be the roots of quadratic equation in such a way that

Here,

Then,

according to question sum of the roots

….. (1)

And the product of the roots

….. (2)

Putting the value of in equation (2)

Thus, the correct answer is


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