Coordinate Geom...

Distance of a point from the origin:

The distance of a point A(x, y) from the origin O(0, 0) is given by OA = √x² + y²

Find the distance of the point A(4, -2) from the origin. 

Distance between two points :

If (x₁, y₁) and B(x₂, y₂) be two points, then AB = √(x₂ - x₁)² + (y₂ - y₁)²

Find the distance between the points A(-4, 7) and B(2, -5). 

The distance between the points A(b, 0) and B(0, a) is. 

If the distance of the point P(x, y) from A(a, 0) is a + x, then y² = ? 

The distance between the points A(5, -7) and B(2, 3) is:

Area of a triangle : 

If A(x₁,y₁), B(x₂,y₂ and C(x₃, y₃) be three vertices of a ΔABC, then its area is given by:

Δ = 1/2 [x₁(y₂ - y₃ + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

Find the area of ΔABC whose vertices are A(9, -5), B(3, 7) and (-2, 4). 

Find the area of ΔABC whose vertices are A(2, -5), B(4, 9) and (6, -1). 

The points A(0, 6), B(-5, 3) and C(3, 1) are the vertices of a triangle which is ? 

The points A(-4, 0), B(1, -4), and C(5, 1) are the vertices of 

 Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6).