MEDIUM
10th West Bengal Board
IMPORTANT
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Prove that two equal chords of a circle are equidistant from the centre.

Important Questions on Theorems on Circle (Related to arc and chord)

MEDIUM
10th West Bengal Board
IMPORTANT
Two chords AB and CD of a circle with centre O meet at E. If OE is the bisector of AED then prove that AB=CD.
MEDIUM
10th West Bengal Board
IMPORTANT
Two parallel chords AB and CD of a circle with radius 10 cm are of lengths 16 cm and 12 cm. If the chords are on same side of the centre, then the distance between them is
MEDIUM
10th West Bengal Board
IMPORTANT
The radius of the circle is 1.7 cm and AB is a chord of the circle whose length is 3 cm. Then distance of AB from the centre is 
MEDIUM
10th West Bengal Board
IMPORTANT
The ratio of the lengths of two chords of a circle is 4:3. If the distances of the chords from the centre are 9 cm and 12 cm, then the length of the chord nearest to the centre is 
MEDIUM
10th West Bengal Board
IMPORTANT
P is the point within a circle with centre O. If the radius of the circle is 13 cm and OP=12 cm, then the length of the least chord through P is 
MEDIUM
10th West Bengal Board
IMPORTANT

The length of the greatest chord of a circle of radius 7 cm is _____. 

MEDIUM
10th West Bengal Board
IMPORTANT
AB is a chord of a circle with centre O. If ODAB, then AD= _____.
MEDIUM
10th West Bengal Board
IMPORTANT
PR is a chord of a circle with centre O. If Q is a point on the chord PR such that PQ=QR. Then the measure of OQR=_____°.