Mathematics Tes...

The number of ways of painting the faces of a cube with six different colours is

If the progressions 3, 10, 17, ....... and 63, 65, 67, ....... are such that their nth terms are equal, then n is equal to

\(\operatorname{lt}_{x \rightarrow 0}(1+2 x)^{\frac{x+3}{x}}\)is equal to

What is the solution of the equation (y log y) dx + (x - logy) dy = 0?

The value of tan (cos^-1(4/5) + tan^-1 (2/3)) is equal to

If g [f(x)] = |sin x| and f[g(x)] = (sin√x)² then,

If f(x) = x/1+x is defined as [0,∞) → [0, ∞), then f(x) is

∞

If |x| > 1, then which one of the following is different from the other three?

The solution of the boundary value problem 2y dy/dx + y² cot x = 2 cos x, y(π/2) = 1 is

The equation of the plane through the line of intersection of planes x + y + z + 3 = 0 and 2x − y + 3z + 1 =0 and parallel to the line x/1 = y/2 =z/3 is