# CBSE Class 10-Mathematics: Questions and Answers Chapter – 10 Circles Part 22 (For CBSE, ICSE, IAS, NET, NRA 2023)

Get top class preparation for CBSE/Class-10 right from your home: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-10.

**Question 7**:

From a point P two tangents are drawn to a circle with center . If diameter of the circle, show that is equilateral.

**Answer**:

Join OP.

Suppose OP meets the circle at Q. Join AQ.

We have

i.e.. , diameter

diameter

Diameter – radius

Thus, radius

Thus, OP is the hypotenuse of right triangle

and is the mid-point of OP

[ mid-point of hypotenuse of a right triangle is equidistant from the vertices]

is equilateral

So,

Also

But

Hence, is equilateral.