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 largest natural number which exactly divides the product of any four consecutive natural numbers is

If sin A=$${6\over 7}$$, then what is the value of sec A?

₹12,000 is lent for one year t the rate of 15% per annum, the interest being compounded annually. If the compounding of the interest is done half- yearly, then how much more interest will be obtained at the end of the one-year period on the same initial sum?

Let D and E be two points on the side BC of △ABC such that AD = AE and BAD = ∠EAC. If AB = (3x+1) cm, BD=9 cm, AC = 34 cm and EC = (y+1) cm, then the value of (x + y) is:

Rs. 2,000 is invested at 10% p.a. on simple interest. If that interest is added to the principal after every 20 years, the amount will become Rs. 14,000 after

The following bar graph shows the number of students who like four different colours.

If 2sinθ+cosθ= $${7\over3}$$ then the value of (tan²θ-sec²θ) is