Chapter 9 : Circle

Exercise - 18

Q1. Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the base.

Q2. In a quadrilateral ABCD, AB = AC = AD. Show that

Q3. In the figure, O is the centre of the circle and the measure of angle is 100⁰. find the

Q4. Prove that the angle formed by a chord in the major segment is acute.

Q5. Prove that angle in the semicircle is a right angle.

Q6. In the adjoining figure, O is the centre of the circle. . Find .

Q7. In the adjoining figure Prove that

Q8. BC is a chord of a circle with centre O. A is a point on an arc BC. Prove that

(i) if A is the point on the major arc.

(ii) if A is the point on the minor arc.

Q9. In the adjoining figure, ABC is a triangle in which AB = AC and P is a point on AC. Through C, a line is drawn to intersect BP produced at Q such that Prove that

Answers