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X, Y, Z and C are the points on the circumference of a circle with centre 'O'. AB is a tangent to the circle at 'X' and ZY = XY. Given ∠OBX = 32° and ∠AXZ = 66°. Find:
In the given diagram 'O' is the centre of the circle. Chord SR produced meets the tangent XTP at P.
In the given diagram RT is a tangent touching the circle at S. If ∠PST = 30° and ∠SPQ = 60° then ∠PSQ is equal to:
In the figure, PQ is a tangent to the circle with centre O at the point A. AB is a chord and C is a point on the major arc. If ∠BAQ = 65°, find: (i) ∠ACB (ii) ∠AOB (iii) ∠OAB
In the figure, PT is a tangent to the circle at T and PAB is a secant. If PA = 4 cm and AB = 5 cm, find PT (in cm).
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