Question

If A,B and c are the collinear points such that A= (3,4), B= (7,7) and AC = 12, then C= ?

Answer 1

Heya dear !!

Given:-

✬ A, B and C are three collinear points, where
A = (3,4) and B(7 ,7)

we know distance formula......

D =

so,

Distance between A and B, we get
=

and
Distance between A and C is 10units
so,

Distance between B and C = 10-5= 5 units....

Let coordinate of "c" = (x, y)

so, we get
and

Now we subtract equation 2 from equation 1,we get.

8x+6y = 148
4x+3y = 74
4x= 74-3y
x=, substitute that value in eq 1, we get

so,
x =
so,
coordinate of C = (11, 10)

HOPE IT HELPS YOU...
@CUTECMSIAN