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.

ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other O. If AO=a cm, DO=b cm and the area of ΔABC= x cm², then what is the area (in cm²) of ΔDBC?

What is the value of ?

The distance between the centers of two circles having radii 4.5 cm. and 3.5 cm. respectively is 10 cm. What is the length of the transverse common tangent of these circles?

Direction: what should come in place at question mark(?).

The graphs of the equations 3x + y-5=0 and 2x- y -5=0 intersect at the point P(α,β).  What is the value of (3α + β)?

If  then find the value of

A man cover a certain distance in 3 hours 36 minute if he walks at the rate of 5 km/hr. If he covers the same distance on cycle at the rate of 24 km/hr, then the time taken by him in minute is__