Question

On a number line co-ordinate of point S is 7 units.find the two other points which are a distance of 11 units from point S

Answer 1

Step-by-step explanation:

Let point Q be at a distance of 8 units from P and on left side of P  Let point R be at a distance of 8 units from P and on right side of P. i. Let the co-ordinate of point Q be x.  Co-ordinate of point P is -7.  Since, point Q is to the left of point P.  ∴ -7 > x  ∴ d(P, Q) = -7 - x  ∴ 8 = -7 – x  ∴ x = – 7 – 8  ∴ x = -15 ii. Let the co-ordinate of point R be y.  Co-ordinate of point P is -7.  Since, point R is to the right of point P. ∴ y > -7  ∴ d(P, R) = 7- (-7)  ∴ 8 = y + 7  ∴ 8 – 7 = 7  ∴ y = 1  ∴ The co-ordinates of the points at a distance of 8 units from P are -15 and 1.Read more on Sarthaks.com - https://www.sarthaks.com/848853/ordinate-point-number-line-find-ordinates-points-number-which-distance-units-from-point