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Question

If sinθ=12 and tanθ=1, then θ lies in the quadrant.

A
first
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B
second
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C
third
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D
fourth
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Solution

The correct option is C third

Given sinθ=12 and tanθ=1

sinθ is negative and tanθ is positive.

sinθ is negative either in third or fourth quadrant.

It is also given tanθ is positive. In third quadrant tanθ is positive while in fourth quadrant tanθ is negative.

So, θ should lie in third quadrant.


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