# Find a Relation Between X and Y If the Points (X, Y), (1, 2) and (7, 0) Are Collinear. - Mathematics

Find a relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.

#### Solution

If the given points are collinear, then the area of triangle formed by these points will be 0.

Area of Triangle = 1/2 {x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)}

Area = 1/2[x(2-0)+1(0-y)+7(y-2)]

0=1/2[2x-y+7y-14]

0=1/2[2x+6y-14]

2x+6y-14=0

x+3y-7 =0

This is the required relation between x and y.

Concept: Area of a Triangle
Is there an error in this question or solution?

#### APPEARS IN

NCERT Class 10 Maths
Chapter 7 Coordinate Geometry
Exercise 7.4 | Q 2 | Page 171