We have been given a diagram and we need to find the value of arc angle a.
According to one of the circle theorems the angle at the centre of a circle is twice the angle at the circumference subtended by the same arc.
Therefore, arc angle a will be twice of the angle at circumference, that is, 34 degrees.
Therefore, value of angle a is:
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.
