State True or False: If two chords of a circle are at an equal distance from the centre of that circle, then those two chords will be always parallel.

State True or False: One tangent can be drawn on a circle from an external point.

Prove that the perpendicular drawn to a chord which is not a diameter, from the center of the circle, bisects the chord.

The radius of the circle with the center 'O' is 13 cm and a chord AB with the length of 10 cm on it. Calculate the distance of the chord AB from the center of the circle.

Two chords, AB and CD of a circle with center O, when produced, intersect each other at the point P. Prove that ∠AOC−∠BOD = 2 × ∠BPC

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.

Find the ratio of the cost price and selling price of an article which is sold at 25% profit

If sinθ = √3 cosθ , Find the value of tanθ + cotθ