If an operation is defined by a* b = a² + b², then (1 * 2) * 6 is

What type of a relation is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A – {1, 2, 3, 4}

If f: R → R defined by f(x) = 2x + 3 then

f^-1(x) =

Let E = {1, 2, 3, 4} and F = {1, 2} Then, the number of onto functions from E to F is(

f A = [1, 2, 3}, B = {5, 6, 7} and f: A → B is a function such that f(x) = x + 4 then what type of function is f?

sin^-1 (sin2π / 3) =

sin^-1 (1 – x) – 2 sin^-1 x = π /2 then x = ?

The value of cos^-1(1/2) + 2sin^-1(1/2) is equal to

tan^-11/2 + tan^-11 /3 =

The direction cosines of the y-axis are

The direction ratios of the line joining the points (x, y, z) and (x₂, y₂, z₁) are

The coordinates of the midpoints of the line segment joining the points (2, 3, 4) and (8, -3, 8) are

The distance of the plane 2x – 3y + 6z + 7 = 0 from the point (2, -3, -1) is

The direction cosines of the normal to the plane 2x – 3y – 6z – 3 = 0 are

The equation xy = 0 in three dimensional space is represented by

How many lines through the origin in make equal angles with the coordinate axis?

The direction cosines of any normal to the xy plane are

The direction cosines of the line joining (1, -1, 1) and (-1, 1, 1) are

The direction ratios of the line of intersection of the planes 3x + 2y – z = 5 and

x – y + 2z = 3 are

The equation of the plane through the origin and parallel to the plane

3x – 4y + 5z + 6 = 0