Question

After plotting the points find out which of the
following points are collinear.
(a) B(1, -2), A(-5, -2) and C(7,-2)
(b) A(-3, 2), B(0, 2) and C(0, -3)
​

Answer 1

Answer:

A option is collinear

.........

Answer 2

Answer:

A ) B(1, -2), A(-5, -2) and C(7,-2)

Step-by-step explanation:

We can easily identify if any 2 points on an X-Y plane are collinear or not by just checking their slope.

The formula for the slope of a line is

$\frac{y2 - y1}{x2 - x1}$

in the above formula, we have

y2 = y- co-ordinate of the point 2

y1 = y- co-ordinate of the point 1

x2 = x- co-ordinate of the point 2

x1 = x- co-ordinate of the point 1

WE CAN EASILY CHECK IF THE POINTS ARE COLLINEAR IF THE SLOPE OF LINE 1 = SLOPE OF LINE 2

Then the given set of points are collinear.

In the above question the points of the a opiton are

(1, -2), (-5, -2), (7, -2)

so for the first set of 2 points we have

x1 = 1

x2 = -5

y1 = -2

y2 = -2

so the slope of the first line is

by putting the values in the equation we get

slope1 =

$\frac{ - 2 - ( - 2)}{ - 5 - 1} = \frac{ - 2 + 2}{ - 6} = 0$

so we get the slope as 0

so we can do the same for the next 2 set of points

we get

slope2 =

$\frac{ - 2 - ( - 2)}{7 - ( - 5)} = \frac{ - 2 + 2}{7 + 5} = 0$

so we get the slope as 0

so we come to the conclusion that slope1 = slope2

that means the three points are collinear.

YOU CAN TRY YOURSELF FOR THE NEXT 2 SET OF POINTS,

I HAD TRIED IT will not come collinear if you have any doubt then ask in the comments.

Thanks