p and q are two points on the line x - y + 1 = 0 such that each of them is 5 units far from the origin. Find the co-ordinates of the points

Answer 1

we have

x^2 + y^2 = 25
x^2 + (x+1)^2 = 25
2x^2 + 2x - 24 = 0
x^2+x-12 = 0
(x+4)(x-3) = 0
So, the points are (-4,-3) and (3,4)