Question

P and Q are two points on the line x-y+1=0 such that each of them us 5 units far from origin. Find the co-ordinate of the points.

Answer 1

answer:

(3,4) and (-4,-3)

Step-by-step explanation:

1.from the above line y becomes y=x+1

2.so both the points should look like (x,x+1)

3.since the distance of the points from origin is 5 so,

$\sqrt{x {}^{2} + (x + 1) {}^{2} } = 5$

squaring on both sides we get

$x { }^{2} + x {}^{2} + 1 + 2x = 25$

$2x {}^{2} + 2x + 1 = 25$

$2x { }^{2} + 2x - 24 = 0 - (1)$

4.on solving the above quadratic equation in x we get x=3,x=-4

5.putting both of them in (x,x+1)

we get the answer (3,4) and (-4,-3)