Mathematics Tes...

If x and y are two positive numbers such that x + y = a, then the minimum value of

The negative of q∨ ~ (p ∧ r) is

For hyperbola  which of the following remains constant with change in α?

The centre of a circle passing through the points (0,0),(1,0) and touching the circle x² + y2 = 9 is

Given  then for non-zero values of x,f(x) equals

A is a set containing n elements, subset P of A is chosen. The set A is reconstructed by replacing the elements of P, subset Q of A is chosen. The number of ways of selecting P and Q so that P and Q are non intersecting, is

If 3a + 2b + 6c = 0, the family of straight lines ax + by + c = 0 passes through a fixed point whose coordinates are given by

The equation of the common tangent to the equal parabolas y² = 4ax and x² = 4ay is

A dice is rolled three times, then the probability of getting a larger number than the previous number each time is