Question

Using distance formula,show that the points P(-4,0),Q(0,3) and R(4,6) are collinear.​

Answer 1

Answer:

( x , y) = (-4,0)

Step-by-step explanation:

x , y) = (-4,0)

(x, y) = (0 , 3)

( x , y) = (4 , 6)

distance formula =√( x - x)² + ( y - y) ²

= √( 0 - (-4) )² + (3 -0 )²

= √ ( 0 + 4 )² + (3)²

= √ (4)² + (3)²

= √ 16 + 9

= √ 25

= 5

distance formula = √ ( x - x)² + ( y - y )²

= √ (4-0)² + (6 -3)²

= √ (4)² + (3)²

=√ 16 + 9

= √ 25

= 5

distance formula = √ (x - x)² + ( y - y)²

=√ (-4 - 4 )² + (0 - 6)²

= √ (-8)² + (-6)²

= √ 64 + 36

= √ 100

= 10

thus, this points are collinear because

collinear means sum of any two distance is equal to third distance..

Here, 5 + 5=10