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Question

If sin θ = 12 and tan θ = 1, then θ lies in which 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 tan θ is positive.

sinθ is negative either in third or fourth quadrant.

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

θ should lie in third quadrant.


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