Two circles with centres P and Q touch each other at point A . `angleBPA=60^(@)` . Find `angleQCA` and `angleCQP`

Two circle having radii 5 . 5 cm, 4 . 2 touch each other externally . Find distance between their centres ? Given : (i) Two circles with centres P and Q touch each other extaranlly at point R . (ii) Radius of circle with centre P is 5 . 5 cm (iii) Radius of circle with centre Q is 4 . 2 cm

Two circles having radii 3 . 5 cm and 4 . 8 cm touch each other internally . Find the distance between their centres . Given : (i) Two circles with centres A and B touch each other internally at point P . (ii) Radius of circle with centre A is 4 . 8 cm . (iii) Radius of circle with center B is 3 . 5 cm . To Find : AB

PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that angle POR =120^(@) . Find angle OPQ .

Two circles with diameters 6 cm and 9 cm touch each other externally. Find the distance between their centres.

In the adjoining figure circles with centres A and C touch internally at point T . Line AB is tangent to the smaller circle at point P . Point B lies on the bigger circle. Radii are 16 cm and 6 cm . Find AP.

In the adjoining figure the circles with centers P and Q touch each other at R . A line passing through R meets the circles at A and B respectively then Prove that : (i) seg AP|| seg BQ. (ii) DeltaAPR~DeltaRQB . (iii) Find angleRQB if anglePAR = 35^(@)

Two circle with centre O and P intersect each other in point C and D. Chord AB of the circle with centre O touches the circle with circle with centre P in Point E. Prove that angleADE+angleBCE= 180^(@)

In the adjoining fig. circles with centres X , Y touch each other at Z . A secant passing through Z meets the circles at A and B respectively. Prove that, radius X A || radius YB. Fill in the blanks and complete the proof.

Draw a circle with O as centre and radius 3.8 cm. Take two points P and Q such that anglePOQ=120^(@) Draw tangents at P and Q without using centre.