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Question

If the roots of the equation lx2+nx+n = 0, l ¹ 0 are in the ratio p : q, then (p/q)1/2+(q/p)1/2+(n/l)1/2


A
nl
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B

2(nl)1/2

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C

0

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D

None of these

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Solution

The correct option is C

0


α+β = nl , αβ=nl , αβ= pq

therefore (pq)1/2+(qp)1/2 + (nl)1/2 = αβ + βα+αβ

=α+β+αβsqrtαβ = nl+nlαβ = 0


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