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Question

Question: If sin q and cos q are the roots of the equation lx<sup>2</sup> + mx + n = 0, then –...

If sin q and cos q are the roots of the equation

lx2 + mx + n = 0, then –

A

l2 – m2 + 2ln = 0

B

l2 + m2 + 2ln = 0

C

l2 – m2 – 2ln = 0

D

l2 + m2 – 2ln = 0

Answer

l2 – m2 + 2ln = 0

Explanation

Solution

sinq + cos q = –m/l ………(1)

sinq . cos q = n/l ………(2)

squaring of (1) Ž 1 + 2(n/l) = m2l2\frac{m^{2}}{\mathcal{l}^{2}}

Ž m2 = 2nl + l2