Q.

The number of roots of the quadratic equation 8 sec2 θ-6 sec θ+1=0 is

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a

Infinite

b

1

c

2

d

0

answer is D.

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Detailed Solution

8 sec2θ-6 sec θ+1=0 ⇒sec θ=12 or sec θ=14, but sec θ≥1 or sec θ⩽1. Hence the given equation has no solution.
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The number of roots of the quadratic equation 8 sec2 θ-6 sec θ+1=0 is