(a) In the figure (i) given below, AB is a chord of the circle with center O, BT is tangent to the circle. If ∠OAB = 32°, find the values of x and y.
(b) In the figure (ii) given below, O and O’ are centres of two circles touching each other externally at the point P. The common tangent at P meets a direct common tangent AB at M. Prove that:
(i) M bisects AB (ii) ∠APB = 90°.
Solution:
More Solutions:
- In the figure given below, O is the centre of the circle.
- Given below, PQ is a diameter. Chord SR is parallel to PQ.
- AB is a diameter of the circle. If ∠ADC = 120°, find ∠CAB.
- ABCD is a quadrilateral inscribed in a circle with centre O.
- PQRS is a cyclic quadrilateral in which PQ = QR and RS is produced to T.
- Given below, O is the centre of the circle.