The distance of AB from centre of circle is ____________
2. Given three collinear points then the number of circles which can be drawn through
these three points are……………………… (a) one (b) two (c) infinite (d) none
3. In given figure, O is centre of circle if ∠ABC = 20° then ∠AOC is equal to :
a)20° (b) 40° (c) 60° (d) 10°
4. Determine a, b and c.
AC and BD produced interest at P. Prove that ∠APB = 60°
6. If two non parallel side of a trapezium are equal, prove that it is cyclic.
7. O is circumcentre of the triangle ABC and D is the mid-point of the base BC.
Prove that ∠BOD = ∠ A
8. In the given figure, B and E are points on line segment AC and DF respectively show that AD||CF.
9. Prove the sum of either pair of opposite angles of a cycle quadrilateral is 180°
10. ABCD is a parallelogram. The circle through A, B and C intersects CD produced at E.
If AB=10cm, BC=8cm, CE=14cm. Find AE.
11. ABC is a right angle triangle, right angled at A. A circle is inscribed in it.
The length of two sides containing angle A is 12cm and 5cm find the radius.
12. In the given figure AD is diameter of the circle, whose centre is O and AB||CD,
Prove that AB = CD
13. AB= 6 cm and CD = 8cm determine PQ.
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