Algebra and Applications Test 2

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Question : 37 of 40

Marks: +1, -0

If the roots of the equation

ft^2 + gt + h = 0

are reciprocal to each other, then which one of the following is correct?

$f = 1/h$
$f = h$
$f = 1/h^2$
$f = -h$
None of these

Solution:

Let the roots of the equation

ft^2 + gt + h = 0

are

µ\and 1/µ.

∴µ. 1/µ=h/f

⇒h=f

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