Original Khojo Papers practice question — not from a past board paper.
120°
No citable source has been recorded for this record. Treat it as practice material, not as fact.
OA and OB are perpendicular to the tangents, so angles OAP and OBP are each 90°. In quadrilateral OAPB the angles add to 360°, so angle AOB = 360° − 90° − 90° − 60° = 120°.
From the same topic and chapter, at a similar level.
Assertion: a parallelogram inscribed in a circle must be a rectangle. Reason: the opposite angles of a cyclic quadrilateral are supplementary. State whether both are true and whether the reason explains the assertion.
Circles
A tangent to a circle of radius 8 cm is drawn from a point 17 cm from the centre. Find the length of the tangent.
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
PT is a tangent from an external point P to a circle, and PAB is a secant through P meeting the circle at A and B. If PT = 6 cm and PA = 4 cm, find PB.
Circles
In a circle of radius 13 cm, a chord is at a distance of 5 cm from the centre. Find the length of the chord.
Circles
Draw a circle with centre O and a chord AB. Mark a point C on the major arc and a point D on the minor arc. Show on your diagram why angle ACB and angle ADB are supplementary.
Circles
