Let P be the point on the parabola, y 2 = 8x which is at a minimum distance from the centre C of the circle, x 2 + (y + 6) 2 = 1. Then the equation of the circle, passing through C and having its centre at P is:

If 0  x < 2, then the number of real values of x, which satisfy the equation cos x + cos 2x = cos 3x + cos 4x = 0, is…

If one of the diameters of the circle, given by the equation, x 2 + y2  4x + 6y  12 = 0, is a chord of a circle S, wh…

If a curve y = f(x) passes through the point (1, 1) and satisfies the differential equation, y(1 + xy) dx = x dy, then…

If the 2nd, 5th and 9th terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is:

The system of linear equations x + y  z = 0 x  y  z = 0 x + y  z = 0 has a non-trivial solution for:

The sum of all real values of x satisfying the equation 2x2 4xx 5 5() x   = 1 is:

The absolute configuration of is :

For a common emitter configuration, if  and  have their usual meanings, the incorrect relationship between  and  is…

Two identical wires A and B, each of length ‘ ’, carry the same current I. Wire A is be nt into a circle of radius R an…

The pair in which phosphorous atoms have a formal oxidation state of + 3 is :