I was given this problem in a College contest but could not solve it.
Can you all share your approach ?
You are given co-ordinates of 4 houses (A , B , C , D) in the form (x , y). You are also given two numbers d1 , d2. You need to build your house in this 2D grid such that the following two conditions are satisfied.
Distance of house A from your house = d1 * distance of house C from your house
Distance of house B from your house = d2 * distance of house D from your house
CONSTRAINTS
10^-5 <= X , Y <= 10^5
1 <= D1 , D2 <= 10^5
INPUT
X1 Y1
X2 Y2
X3 Y3
X4 Y4
D1 D2
OUTPUT
Co-ordinates of your house ( Accepted upto 2 decimal places )
I ended up with a quadratic equation but how to solve that ?
I don’t remember the sample test case