At 300 K and 1 atm, 15 mL of a gaseous hydrocarbon requires 375 mL air containing 20% O 2 by volume for complete combustion. After combustion the gases occupy 330 mL. Assuming that the water formed is in liquid form and the volumes were measured at the same temperature and pressure, the formula of the hydrocarbon 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…

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 +…

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 :

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

The reaction of zinc with dilute and concentrated nitric acid, respectively produces :