Mathematics Tes...

There are two balls in an urn whose colours are not known (each ball can be either white or black). A white ball is put into the urn. A ball is drawn from the urn. The probability that it is white is

The plane passing through the point (−2, −2, 2) and containing the line joining the points
(1, 1, 1) and (1, −1, 2) makes intercepts on the coordinates axes then sum of the lengths of intercepts is

If a, b, c are in GP and  are in AP, then a, b, c are the lengths of the sides of a triangle which is

Sum of the series
1 + 3 + 6 + 10 + 15 + ……………………….n terms is

The solution of the equation (2x + y + 1) dx + (4x + 2y – 1) dy = 0 is

The area bounded by curves y = f(x), the x-axis and the ordinates x = 1 and x = b is (b - 1) sin (3b + 4). Then f(x) is-

If sin 5x + sin 3 x + sin x = 0, then the value of x other than zero, lying between 0 < x < π/2 is

For n > 2 the product   where is equal to 

The value of K, for which the equation (K–2)x² + 8x + K + 4 = 0 has both the roots real distinct and negative is:

The equation of the common tangent touching the circle (x-3)² + y² = 9 and the parabola y² = 4x above the x-axis, is