# CBSE Class 10-Mathematics: Chapter – 11 Constructions Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 2**:

In figure, PA and PB are tangents from P to the circle with center O. R is a point on the circle, prove that .

**Answer**:

Since length of tangents from an external point to a circle are equal in length

And

Now

**Question 3**:

The length of tangents from a point A at distance of 26 cm from the center of the circle is 10cm, what will be the radius of the circle?

**Answer**:

Since tangents to a circle is perpendicular to radius through the point of contact

In right , We have

Hence, radius of circle is

**Question 4**:

In the given figure, if and are the two tangents to a circle with centre so that , then find

**Answer**:

Since

**Question 5**:

In the figure, given below PA and PB are tangents to the circle drawn from an external point P. CD is the third tangent touching the circle at Q. If and , what is the length of PC?

**Answer**: