MEDIUM
9th Kerala Board
IMPORTANT
Earn 100

The picture given below, shows two circles centred on the same point and a line intersecting them. Prove that the parts of the line between the circles on either side are equal.
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Important Questions on Circles

MEDIUM
9th Kerala Board
IMPORTANT
The figure given below, shows two chords drawn on either sides of a diameter. What is the length of the other chord? (in cm)
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MEDIUM
9th Kerala Board
IMPORTANT
A chord and the diameter through one of its ends are drawn in a circle. A chord of the same inclination is drawn on the other side of the diameter, as given below,
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Prove that the chords are of the same length.
MEDIUM
9th Kerala Board
IMPORTANT
The figure shows two chords drawn on either sides of a diameter. How much is the angle the other chord makes with the diameter?
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MEDIUM
9th Kerala Board
IMPORTANT
Prove that the angle made by two equal chords drawn from a point on the circle is bisected by the diameter through that point.
HARD
9th Kerala Board
IMPORTANT

Draw a square and a circle through all four vertices. Draw diameters parallel to the sides of the square and draw a polygon joining the end points of these diameters and vertices of the square.

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Prove that this polygon is a regular octagon.

MEDIUM
9th Kerala Board
IMPORTANT
Prove that chords of the same length in a circle are at the same distance from the centre.
MEDIUM
9th Kerala Board
IMPORTANT
Two chords intersect at a point on a circle and the diameter through this point bisects the angle between the chords. Prove that the chords have the same length.
MEDIUM
9th Kerala Board
IMPORTANT
In the picture given below, the angles between the radii and the chords are equal. Prove that the chords are of the same length.
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