Question

If the area of the triangle formed by the three points is zero, then the points lie on a

Answer 1

Answer:

Three points are collinear if the value of area of triangle formed by the three points is zero. Apply the coordinates of the given three points in the area of triangle formula. If the result for area is zero, then the given points are said to be collinear.

Answer 2

If the area of the triangle formed by the three-point is zero, then the points lie on the same line.

• The points that lie on the same line are called Collinear points.
• The area of triangle formed by collinear points is always zero.
• If two or more points are collinear, then their slopes are equal.
• The formula of collinear if any three points say A,B and C are collinear,  is AB+BC =AC or AC +CB = AB or BA + AC = BC.
• The gradient of a collinear points are equal.

Hence, if the area of the triangle formed by the three-point is zero, then the points lie on the same line.