Question

3. A, B, C are consecutive points on the
straight line such that AB=BC. If the
coordinates of A and Care (5, 2) and (3,-2)
respectively, then what are the coordinates
of the point B?​

Answer 1

Answer:

Let the required ratio be k:1. Let P(x,y) be the point on the given line dividing AB in the ratio k:1.

Using section formula,

x=

k+1

3k+2

and y=

k+1

7k−2

This point P(x,y) lies on the line 2x+y−4=0, thus it will satisfy the given equation of line.

Therefore,

2×

k+1

3k+2

+

k+1

7k−2

=4

9k=2

k=

9

2

Therefore, the required ratio is

9

2

:1 or 2:9.

Answer 2

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2,5

Hope it helps you