Original Khojo Papers practice question — not from a past board paper.
9 cm
No citable source has been recorded for this record. Treat it as practice material, not as fact.
By the tangent–secant relation PT2 = PA × PB, so 36 = 4 × PB and PB = 9 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
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 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
