If   and , then is 

By using mathematical induction, prove that n⁴ – 1 > 4n for all natural numbers n > 3.

The lines meets the plane  2x + 3y – z = 14 in the point

Equation on z-axis is

The equation of the sphere whose center is  and whose radius is same as that of the sphere is

If the vertices of a triangle are A( 1, 4, 2 ) , B( - 2, 1, 2 ) and C( 2, - 3, 4), then the angle B is equal to

The equation of the plane passing through the points and parallel to the x-axis is

Which of the following is an example of a typical mathematical induction problem?

Which of the following is a correct use of the principle of induction to prove that 2ⁿ > n² for all natural numbers n > 5?

Which of the following is the first step in a proof by mathematical induction?