Question

Determine the ratio in which 2y-x+2=0 divides the line joining (3,-1) (8,9)
Ans 1:4

Answer 1

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Let the required ratio be k:1
Then, the point of division is (8k+3/k+1, 9k-1/k+1)
This point must lie on y-x+2=0.
Therefore 9k-1/k+1 - 8k+3/k+1 +2-0 or k = 2/3.
So, the required ratio is 2/3:1
i.e. 2:3.



$\boxed{Hope\:This\:Helps}$

Answer 2

Heya,

Answer is here:

Let the required ratio be k:1

Then, the point of division is (8k+3/k+1, 9k-1/k+1)

This point must lie on y-x+2=0.

Therefore 9k-1/k+1 - 8k+3/k+1 +2-0

or k = 2/3.

So, the required ratio is 2/3:1

i.e. 2:3.

Thanks...❤️❤️