Same chapter3 marksDifficulty: Medium
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
2 marksDifficulty: Medium
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.
Original Khojo Papers practice question — not from a past board paper.
Answer
Both are true and the reason is the correct explanation.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
In a parallelogram the opposite angles are equal, and in a cyclic quadrilateral they are supplementary. Both together force each pair to be 90°, so the parallelogram is a rectangle.
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