Q17 of 62 Page 193

In the figure, PA and PB are tangents to the circle drawn from an external point P. Also CD is a tangent to the circle at Q. If PA = 8 cm and CQ = 3 cm, then PC is equal to

Given: PA = 8 cm and CQ = 3 cm


We know that the lengths of the two tangents from an exterior point to a circle


are equal.


DA = DQ, PA = PB and CQ = BC


PB = 8 cm BC = 3 cm


PC = PB – BC = 8 – 3 = 5 cm

More from this chapter

All 62 →
15

In the figure, if ∠PAB = 120° then ∠BPT =

 16

If the tangents PA and PB from an external point P to circle with centre O are inclined to each other at an angle of 40° then ∠POA =

 18

Δ ABC is a right angled triangle where ∠B = 90° and BD ⊥ AC. If BD = 8 cm, AD = 4 cm, then CD is

 19

The areas of two similar triangles are 16 cm2 and 36 cm2 respectively. If the altitude of the first triangle is 3 cm, then the corresponding altitude of the other triangle is