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

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

Illustration: Question

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

Illustration: Question

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 .

Illustration: Question

Solution

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

And

Now