In the given figure , R Q  is a chord of the circle and P O Q is its diameter such that ∠RPO= 30 °  . If O T is the tangent to the circle at the point O  , then find ∠ROT  .

# In the given figure , R Q  is a chord of the circle and P O Q is its diameter such that  . If O T is the tangent to the circle at the point  , then find  .

1. A

2. B

3. C

4. D

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### Solution:

Gicen that RQ is a chord of the circle and POQ is the diameter and  .
We know that angle inscribed in the semicircle is right angle.
So,
In  ,
By angle sum property,

Now, the tangents are perpendicular to the radius of the circle.
Therefore,
Compute the   by subtracting the value of   from
Hence, the value of   is  .
Therefore option 2 is correct.

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