In a circle with centre O, chord AB is produced to a point P outside the circle, and PT is a tangent from P touching the circle at T. If PA = 5 cm and AB = 7 cm, find the length of PT.
Circles
Original Khojo Papers practice question — not from a past board paper.
Angle ACB = 90° and angle ABC = 55°.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
AB is a diameter, so the angle in the semicircle at C is 90°. The angles of triangle ABC add to 180°, so angle ABC = 180° − 90° − 35° = 55°.
From the same topic and chapter, at a similar level.
In a circle with centre O, chord AB is produced to a point P outside the circle, and PT is a tangent from P touching the circle at T. If PA = 5 cm and AB = 7 cm, find the length of PT.
Circles
Two chords AB and CD of a circle intersect inside the circle at P. If PA = 4 cm, PB = 6 cm and PC = 3 cm, find PD.
Circles
In a circle with centre O, the angle AOB at the centre is 100°. Find the angle ACB at a point C on the major arc.
Circles
State the angle in a semicircle theorem.
Circles
From an external point P two tangents PA and PB are drawn to a circle with centre O. If angle APB = 60°, find angle AOB.
Circles
In a cyclic quadrilateral ABCD, angle A = 70°. Find angle C.
Circles