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9th Madhya Pradesh Board
IMPORTANT
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Prove that if chords of congruent circles subtend equal angles at their centers, then the chords are equal.

Important Questions on Circles

MEDIUM
9th Madhya Pradesh Board
IMPORTANT
MATHEMATICS Textbook for Class IX>Chapter 10 - Circles>EXERCISE>Q 1
Draw different pair of circles. How many points does each pair have in common? What is the maximum number of common points?
MEDIUM
9th Madhya Pradesh Board
IMPORTANT
MATHEMATICS Textbook for Class IX>Chapter 10 - Circles>EXERCISE>Q 2
Suppose you are given a circle. Give a construction to find its centre.
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9th Madhya Pradesh Board
IMPORTANT
MATHEMATICS Textbook for Class IX>Chapter 10 - Circles>EXERCISE>Q 3
If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord.
MEDIUM
9th Madhya Pradesh Board
IMPORTANT
MATHEMATICS Textbook for Class IX>Chapter 10 - Circles>EXERCISE>Q 1
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their Centres is 4 cm. Find the length of the common chord.
HARD
9th Madhya Pradesh Board
IMPORTANT
MATHEMATICS Textbook for Class IX>Chapter 10 - Circles>EXERCISE>Q 2
If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.
MEDIUM
9th Madhya Pradesh Board
IMPORTANT
MATHEMATICS Textbook for Class IX>Chapter 10 - Circles>EXERCISE>Q 3
If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.
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9th Madhya Pradesh Board
IMPORTANT
MATHEMATICS Textbook for Class IX>Chapter 10 - Circles>EXERCISE>Q 4

If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB=CD.

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HARD
9th Madhya Pradesh Board
IMPORTANT
MATHEMATICS Textbook for Class IX>Chapter 10 - Circles>EXERCISE>Q 5
Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5 m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6 m each, what is the distance between Reshma and Mandip?