Question

6. If P(1, 12)divides AB from a A
ratio 2:1 and A(3,8) then
find the coordinate of B​

Answer 1

Answer:

Let B(x,y). then

$1 = \frac{2x + 1 \times 3}{2 + 1} = \frac{2x + 3}{3}$

$2x + 3 = 3 \: \: i.e \: \: x = 0$

now

$12 = \frac{2y + 1 \times 8}{2 + 1} = \frac{2y + 8}{3}$

$2y + 8 = 36 \: \: i.e \: \: y = \frac{36 - 8}{2} = 14$

so B is ( 0, 14 ). Ans.