MEDIUM
9th Madhya Pradesh Board
IMPORTANT
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Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

Important Questions on Circles

HARD
9th Madhya Pradesh Board
IMPORTANT
MATHEMATICS Textbook for Class IX>Chapter 10 - Circles>EXERCISE>Q 2
Prove that if chords of congruent circles subtend equal angles at their centers, then the chords are equal.
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.
MEDIUM
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.
MEDIUM
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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