# NCERT Class 10 Chapter 15 Constructions CBSE Board Sample Problems Very Short Answer

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## Question

**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 PB=10cm and CQ =2 cm, what is the length of PC?**

### Solution

Ans.

## Question

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

### Solution

Ans. Since

## Question

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

### Solution

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

And

Now