Original Khojo Papers practice question — not from a past board paper.
8 cm
No citable source has been recorded for this record. Treat it as practice material, not as fact.
By the intersecting chords theorem PA × PB = PC × PD, so 4 × 6 = 3 × PD and PD = 8 cm.
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
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
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
