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Class 9 Maths Practice Test: Circles - Perpendicular from the Centre to a Chord
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Avg score: 69% • Most missed: “Two circles of radius 13cm and 17cm intersect at A and B. What is the distance b…”

The perpendicular from the centre of a circle to a chord bisects the chord. The theorem states that if O is the centre and PQ is the chord, then the perpendicular OR from the centre O to the chord PQ bisects the chord PQ (i.e.) PR = RQ.

Class 9 Maths Practice Test: Circles - Perpendicular from the Centre to a Chord
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7 Questions

1. What is the ratio of PQ/RS if OT is perpendicular to line l?
2. Find the radius of circle if AB = 7cm, RS = 6cm and PQ = 8cm.
3. What is the value of AC if radius of circle is 5cm and OB = 3cm?
4. Find the value of AB if radius of circle is 10cm and PQ = 12cm and RS = 16cm?
5. What is the value of ∠PSQ in the given figure?
6. Two circles of radius 13cm and 17cm intersect at A and B. What is the distance between the centres of the circles if AB = 24cm?
7. What is the length of AD if distance between centres of the two circles is 9cm?

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