is continuous on

The value of f (0) so that f(x) = is continuous at x = 0 is

We have to be careful that denominator is not zero. We have to readjust the function in a way we will not get zero at denominator for the function to be continuous at that point. And, we have to know different formulas of limit.

Ifthen atis

A point moves so that the ratio of its distances from two fixed points is constant Its Iocus is a

The points , , and are

The shortest distance of the point from on the ‐axis is equal to

If cos + cos = 0 = sin + sin then cos ( - ) =

If and are two points, the direction cosines of the line are

The equation of a plane passing through the line of intersection of the planes and and parallel to the line is

A directed line segment angles with the coordinate axes The value of is always equal to

A point moves so that the rra io of its distances from two fixed points is constant Its Iocus is a

The equation of the plane that contains the line of intersection of the planes and and perpendicular to the ‐plane is

The angle between two diagonals of a cube is

Let be unit vectors such that and Also, is any vectors such that and Then is equal to

l1n a triangle OAB, is the mid‐point of OB and is a point on AB such that If and intersect at , then ratio of
equal to