Mathematics Tes...

The angle between lines y²sin²θ-xysin²θ+x²(cos²θ-1) = 1 is

Three identical dice are rolled. The probability that the same number will appear on each of them is

If the sides of a triangle are proportional to the cosines of the opposite angles then the triangle is

If the difference between the corresponding roots of x² + ax + b = 0 and x² + bx + a = 0 is same and a ≠ b, then

If A.M. between two numbers is 5 and their G.M. is 4, then their H.M. is

A condition for a function y = f (x) to have an inverse is that it should be

The number of 4-digit even numbers that can be formed using 0, 1, 2, 3, 4, 5, 6 without repetition is

A line passing through point A(-5,-4) meet other three lines x + 3y + 2 = 0, 2x + y + 4 = 0 and x - y - 5 = 0 at B, C and D respectively. If (15/AB )² + (10/AC)² = (6/AD)2, then the equation of line is

X follows a binomial distribution with parameters n = 6 and p. If 4 P (X = 4) = P (X = 2), then p =