Question

Check whether the points A(2, 3), B(4, 0) and

C(6, -3) are collinear or not?​

Answer 1

Heyya Mate,

To check whether the given points are collinear or not, we must find the Distance between each of them:

AB=

$\sqrt{(4-2)^2 + (0-3)^2}\\\sqrt{(2)^2 + (-3)^2}\\\sqrt{4 + 9}\\\\\sqrt{13}$

BC=

$\sqrt{(6-4)^2 + (-3-0)^2} \\\\\sqrt{(2)^2 + (-3)^2}\\\\\sqrt{4 + 9}\\\\\sqrt{13}$

AC=

$\sqrt{(6-2)^2 + (-3-3)^2}\\\\\sqrt{(4)^2 + (-6)^2}\\\\\sqrt{16 + 36}\\\\\sqrt{52}$

Now, to be Collinear points,

AB + BC = AC

(Putting Values)

$\sqrt{13} + \sqrt{13} = 2\sqrt{13}$

and,

$\sqrt{52} = \sqrt{2*2*13}\\\sqrt{52} = 2\sqrt{13}$

Thus, the given points are Collinear.

If you found my answer helpful, then please mark as BRAINLIEST... :)

Answer 2

Answer:

I hope answer is helpful to us