Question

If a and b are the points(-3,4) and (2,1) then the coordinates of the point c on ab produced such that ac=2bc are

Answer 1

Answer: The coordinates of the point c on ab are (7,-2).

Step-by-step explanation:

Given that,

The coordinates of a and b are (-3,4) and (2,1) respectively.

The point c lies on produced line ab such that ac=2bc

So,

ac : bc= 2 : 1

We use external section formula to find the coordinates of the point c.

c(x,y)= ((m*x2-n*x1)/(m-n),(m*y2-n*y1)/(m-n))

We have,

m : n= 2 : 1

Now, substituting all the known values, we get

c(x,y)= ((2*2-1*(-3))/(2-1),((2*1-1*4)/(2-1))

Solving further, we see

c(x,y)= (7/1,-2/1)

c(x,y)= (7,-2)

Answer 2

Answer:

Given that,

The coordinates of a and b are (-3,4) and (2,1) respectively.

The point c lies on produced line ab such that ac=2bc

So,

ac : bc= 2 : 1

We use external section formula to find the coordinates of the point c.

c(x,y)= ((m*x2-n*x1)/(m-n),(m*y2-n*y1)/(m-n))

We have,

m : n= 2 : 1

Now, substituting all the known values, we get

c(x,y)= ((2*2-1*(-3))/(2-1),((2*1-1*4)/(2-1))

Solving further, we see

c(x,y)= (7/1,-2/1)

c(x,y)= (7,-2)

Step-by-step explanation: