Question

find the midpoint of the line joining (2,3)and (-2,1) ,hence show that the midpoint and the two end points are collinear

Answer 1

Answer:

Step-by-step explanation:

The given points are A (2, 3) and B (- 2, 1)

Then the coordinates of the mid-point of the line AB joining A, B are

( (2 - 2)/2, (3 + 1)/2 )

i.e., (0, 2)

The equation of the line AB is

(y - 3)/(3 - 1) = (x - 2)/(2 + 2)

or, (y - 3)/2 = (x - 2)/4

or, 4 (y - 3) = 2 (x - 2)

or, 4y - 12 = 2x - 4

or, 2x - 4y + 8 = 0

or, x - 2y + 4 = 0 ..... (1)

In order to show the mid-point (0, 2) lying on AB, we satisfy (1) no. equation by (0, 2)

The L.H.S. of (1)

= 0 - 2 (2) + 4

= - 4 + 4

= 0 = R.H.S. of (1)

Since (0, 2) satisfies the equation (1), the mid-point and the two end points are collinear.

Thus proved.

please mark as the brainliest answer .

Answer 2

Answer:

this is your answer bro

Step-by-step explanation:

i hope you understand~