AC is a chord of circle whose centre is at O. If B is any point on the arc AC and ∠OCA=20⁰ , then the magnitude of ∠ABC is

A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is

AB and CD are two parallel chords of a circle lying on the opposite side of the centre and the distance between them is 17cm. The length of AB and CD are 10 cm and 24 cm, respectively. The radius (in cm) of the circle is

AB is diameter of a circle with centre 'O'. CD is a chord which is equal to the radius of the circle. AC and BD are extended so that they intersect each other at point P. Then find the value of ∠ APB.

The compound interest on a certain sum for first two successive years are Rs. 100 and Rs. 172 respectively. Find the rate of interest.

If the present worth of a certain sum due 2 years hence at 10% per annum at a compound interest principal is Rs. 2500, find the amount.

If a sum of Rs. 12500 is invested for 1 year at 12% per annum interest being compounded semi-annually, then interest earned is

The compound interest on Rs. 1000 at 10% per annum for 3 years in (Rs.) is