find the coordinatesof the points on x axis which are at the distance of 5 units from (5,4)

Asked by aroraisha411 | 11th Jun, 2019, 03:21: PM

Expert Answer:

Let the required point on x-axis be (x, 0).

Using distance formula, we have:

(x - 5)2 + (0 - 4)2 = (5)2

 (x - 5)2 + 16 = 25  

 x2 - 10x + 25 + 16 = 25

 x2 - 10x + 16 = 0

(x - 8)(x - 2) = 0

 Required points on x-axis are (8, 0) and (2, 0).

Answered by Sneha shidid | 11th Jun, 2019, 04:24: PM