Distance of a Point From a Line
Distance of a Point From a Line: Overview
This topic covers concepts such as Distance between Two Parallel Lines, Perpendicular Distance of a Point from a Line, and Length of the Perpendicular from Origin to the Line.
Important Questions on Distance of a Point From a Line
Find the length of perpendicular from origin to line

Find the length of perpendicular from origin to line

Find the length of perpendicular from origin to line

Find the length of perpendicular from origin to line

Find the length of perpendicular from origin to line

The distance between the lines and is units. Write the value of .

Let be a subset of the plane defined by . Then, the radius of the smallest circle with centre at the origin and having non-empty intersection with is

The distance between the lines and (in units) is equal to

Consider the plane and point . A line has the equation
The distance between the points on the line which are at a distance of from the plane is

Consider the triangle having vertices and . Also means when is least ; when is least and so on. From this we can say .
Let be the region consisting of all those points inside which satisfy . Then the area of the region is
For next two question please follow the same
Consider the triangle having vertices and . Also means when is least ; when is least and so on. From this we can say .
Let be the region consisting of all those points inside which satisfy , where denotes the distance from the point to the corresponding line. Then the area of the regiona is

The lengths of the perpendiculars from the points and to the line are in

What is the distance between the planes and ?

The maximum possible length of semi latus rectum is

The equation of the base of an equilateral triangle is and it's vertex is . If the length of its equal side is , then the value of is

If an equilateral triangle, having centroid at the origin, has a side along the line then the area (in sq.units) of this triangle is

The distance of the point from the line is

A straight line passes through the points and The length of perpendicular form the point on the line is

The distance of the point P(a, b, c) from the -axis is

If and are points in a plane, then the set of all points in the plane such that is
