SSC (English Medium) १० वीं कक्षा - Maharashtra State Board Question Bank Solutions for Geometry Mathematics 2

From the information given in the figure, find the measure of ∠ AEC.

In the given figure, two circles intersect each other at points S and R. Their common tangent PQ touches the circle at points P, Q.
Prove that, ∠ PRQ + ∠ PSQ = 180°

In the figure given above, O is the centre of the circle. Using given information complete the following table:

What is the measure of a semicircular arc?

In figure, in a circle with center O, length of chord AB is equal to the radius of the circle. Find measure of each of the following.

1. ∠AOB
2. ∠ACB
3. arc AB

In the figure, quadrilateral ABCD is cyclic. If m(arc BC) = 90° and ∠DBC = 55°, then find the measure of ∠BCD.

Chord AB and chord CD of a circle with centre 0 are congruent. If m(arc AB) = 120°, then find the m(arc CD).

Find the equation of a lined passage through (3,6) and making intercepts equal magnitude but opposite in sign-on both the axes.