Question

hey friends please answer my question its my exam today

verify that the points (1,5) ,(2,3) ,and (-2,-1) are collinear or not ?why explain

Answer 1

HEY Buddy.....!!! here is ur answer..

Let C = (1,5), A = (2,3) and B = (-2,-1)

Let's check out with the diagram of collinear

C____d1_____A_____d2_____B
•____________D____________•

Then distance between A and C

=> d1 = √(2-1)²+(3-5)² = √1+4 = √5

Now distance between B and C

=> D = √(-2-2)²+(-1-3)² = √16+16 = √32 = 4√2

Now distance between A and B

=> d2 = √(-2-1)²+(-1-5)² = √9+36 = √45 = 3√5

Now According to the condition of collinear...

=> D = d1 + d2

=> 4√2 = √5+3√5

=> 4√2 = 4√5

Therefore equation doesn't satisfied, So the points A,B and C are not collinear.

I hope it will be helpful for you..!!

THANK YOU ✌️✌️