Same chapter3 marksDifficulty: Medium
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
3 marksDifficulty: Medium
PQ is a tangent at P to a circle with centre O. If OQ = 25 cm and the radius of the circle is 7 cm, find the length of PQ.
Original Khojo Papers practice question — not from a past board paper.
Answer
PQ = 24 cm
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The radius is perpendicular to the tangent at the point of contact, so triangle OPQ is right-angled at P. Hence PQ = √(252 − 72) = √(625 − 49) = √576 = 24 cm.
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