Mathematics Tes...

The function f(x) = |2sgn(2x)| + 2 is (where sgn(x) means signum x)

If G.M. and H.M. of two numbers are 10 and 8 respectively. The numbers a

Out of 3n consecutive natural numbers, 3 natural numbers are chosen at random without replacement. The probability that the sum of the chosen numbers is divisible by 3, is

The coefficient of x⁵ in the expansion of (1 + x)²¹ + (1 + x)²² +...+(1 + x)³⁰ is

If _e[sin²⁡α + sin⁴⁡α + sin⁶⁡α +... ∞] loge⁡2       is a root of equation x² - 9x + 8=0, where 0 < α < π/2, find the value of 

Which of the following function is periodic?

The sum of an infinite geometric series is 2 and the sum of geometric series made from the cube of this infinite series is 24. Then the series is

The area (in sq. units) of the region bounded by the curve y = 2x - x² and the line y = x is

If the lines x + 2ay + a = 0, x + 3by + b = 0, x + 4cy + c = 0 are concurrent, then a, b, c are in