Question

If A(-2,5) and B(3, 2) are the two points on a straight line. If AB is extended to 'C' such that AC = 2BC, then the coordinates of 'C' are: who ever answers this correctly I will mark them them brainliest​

Answer 1

Answer
Correct option is
C
(8,−1)

Given points are A(−2,5) and B(3,2)
BC
AC
​
=
1
2
​
, C divides line segment AB externally.
If A(x
1
​
,y
1
​
) and B(x
2
​
,y
2
​
) be two end points of a line segment, then the coordinates of the point P(x,y) that divides the line segment externally in the ratio m:n is (
m−n
mx
2
​
−nx
1
​

​
,
m−n
my
2
​
−ny
1
​

​
).
Thus, the coordinates of C are (
2−1
2(3)−1(−2)
​
,
2−1
2(2)−1(5)
​
).
=(
1
6+2
​
,
1
4−5
​
)
=(8,−1)

Please mark as Brainliest.

Answer 2

Answer:

Given points are A(−2,5) and B(3,2)

BC

AA = 12

, C divides line segment AB externally.If A(x 1 ,y 1 ) and B(x 2 ,y 2 ) be two end points of a line segment, then the coordinates of the point P(x,y) that divides the line segment externally in the ratio m:n is (

m−nmx 2 −nx 1

m−nmy 2 −ny 1 ).

Thus, the coordinates of C are ( 2−12(3)−1(−2)

, 2−12(2)−1(5) ).=( 16+2 , 14−5 )

=(8,−1)