Question

the coordinates of point B on a number line is -5 find coordinates of point which are at a distance of 10 units from B?​

Answer 1

Let the co-ordinates of any point on the x-axis be (x, 0). Then distance between (x, 0) and (– 4, 8) is 10 units. ⇒ \(\sqrt{(x+4)^2+(0-8)^2}\) = 10 ⇒ x2 + 8x + 16 + 64 = 100 ⇒ x2 + 8x – 20 = 0 ⇒ (x + 10) (x – 2) = 0 ⇒ x = –10 or 2 ∴ The required points are (– 10, 0) and (2, 0).Read more on Sarthaks.com - https://www.sarthaks.com/1016109/find-the-ordinates-of-the-points-on-the-axis-which-are-at-distance-of-10-units-from-the-point