01 · 1 MARK PRACTICE QUESTIONS
Short Answer / Objective Questions
1 MARK
Q1. What is the measure of an angle in a semicircle?
1 MARK
Q2. If ABCD is a cyclic quadrilateral and ∠A = 70°, find the measure of ∠C.
02 · 2 MARKS PRACTICE QUESTIONS
Short Proofs & Calculations
2 MARKS
Q3. A chord of length 10 cm is at a distance of 12 cm from the centre of a circle. Find the radius of the circle.
2 MARKS
Q4. In the given figure, ∠ABC = 69° and ∠ACB = 31°. Find ∠BDC.
03 · 3 MARKS PRACTICE QUESTIONS
Intermediate Problem Solving
3 MARKS
Q5. Prove that the perpendicular from the centre of a circle to a chord bisects the chord.
3 MARKS
Q6. 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.
04 · 5 MARKS PRACTICE QUESTIONS
Long Answer & Complex Proofs
5 MARKS