21.If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord.
495 Views
22.In figure, EF is a line passing through the centre O of a circle. If EF bisects chords AB and CD of the circle, prove that AB || CD.
776 Views
23.Two chords PQ and RS of a circle are parallel to each other and AB is the perpendicular bisector of PQ. Without using any construction, prove that AB bisects RS.
1391 Views
24.OD is perpendicular to chord AB of a circle whose centre is O. If BC is a diameter, prove that CA = 2OD.
1805 Views
Advertisement
25.In the figure, diameter AB and a chord AC have a common end point A. If the length of AB is 20 cm and of AC is 12 cm, how far is AC from the centre of the circle?
233 Views
26.Bisector AD of ∠BAC of ∆ABC passes through the centre of the circumcircle of ∆ABC as shown in the figure. Prove that AB = AC.
28.Find the length of a chord which is at a distance of 3 cm from the centre of a circle whose radius is 5 cm.
Solution not provided.
Ans. 8 cm
367 Views
Advertisement
Advertisement
29.Two concentric circles are with centre O. A, B, C, D are the points of intersection with a line. If AD = 12 cm and BC = 8 cm, find the length of AB, CD, AC and BD.
167 Views
30.Find the length of a chord of a circle which is at a distance of 4 cm from the centre of the circle with radius 5 cm.
Short Answer Type
Switch
