In Which Quadrant is this true

Given:

To find:

The quadrant in which lie.

Solution:

Quadrant concept:

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II, only and are positive.

In Quadrant III, only and are positive.

In Quadrant IV, only and are positive.

We have,

Here, is negative and is also negative. It is possible, if lies in the Quadrant IV.

Therefore, the correct option is D.

S (ABCD) = S (ABC) + S (ADC)

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Area of the triangle = ½ × base × height

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Thus :

There you go...

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