Describe the process of drawing an incircle of a right-angled triangle.

Draw a triangle whose sides are of lengths 6 cm, 8 cm, and 10 cm. Draw the incircle of this triangle.

Draw a right-angled triangle of which two sides containing the right angle have the lengths 5 cm and 6 cm. Now draw an incircle of the triangle.

The lengths of sides containing the right angle of a right-angled triangle are given. Describe the procedure of construction of the circumcircle of the triangle.

Draw a right-angled triangle having two sides 4 cm and 8 cm length respectively, containing the right angle. Then draw the circumcircle of the right-angled triangle. (Only traces of construction are required.)

Draw a circle of radius 4 cm. Draw a tangent on this circle from an external point at a distance 9 cm from the centre of the circle.

If two tangents are drawn to a circle from a point outside it, then prove that the line segments joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.

Write the magnitude of each angle of a cyclic parallelogram

The angle in the segment of a circle which is greater than a semicircle is acute or obtuse?

Express 22°30' in radians

Find the number of direct common tangents of two circles which touch each other externally.

If the sum of the roots of the equation ax² + bx + ac = 0 ( a ≠ 0) is zero, then find b.