Question

(1) Complete the following activity to decide whether the points Do(0,3),
E(1, 1) and F(3,-1) are collinear or not.​

Answer 1

Given :-

Coordinate of D is (0,3)

Coordinate of E is (1,1)

Coordinate of F is (3,-1)

What is Collinear point?

Collinear points:- Three or more points are said to be collinear if they lie on the same straight line.

As we know the formula for collinearity is x1(y2 - y3) + x2(y3 - y1) + x3(y1- y2) = 0

Where the coordinates here are respectively

(x1, y1), (x2, y2) & (x3, y3)

Now on putting values,

(x1, y1) be (0,3)

(x2,y2) be (1,1)

(x3,y3) be (3,-1)

L.H.S:-

=> x1(y2 - y3) + x2(y3 - y1) +x3(y1 - y2)

=> 0(1 + 1)+1(-1 - 3) + 3(3 - 1)

=> 0 + (-4) + 6

=> 2

R.H.S = 0

As L. H. S ≠ R.H.S

Therefore:-

The points are not collinear.

Answer 2

Answer:

find the point on X axis which is equidistant from the points M(-5,2) and N(3,2).