Examples of NCERT Chapter 10, Circles, CBSE
Example 1 : Given an arc of a circle, complete the circle.
Example 2 : If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal.
Example 3 : In Fig. 10.32, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that ∠ AEB = 60°.
Example 4 : In Fig 10.33, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals.
If ∠ DBC = 55° and ∠ BAC = 45°, find ∠ BCD.
Example 5 : Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see Fig.10.34). Prove that B lies on the line segment DC.
Example 6 : Prove that the quadrilateral formed (if possible) by the internal angle bisectors of any quadrilateral is cyclic.
