Question

UWP
11. If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.(Co ordinate Geometry )​

Answer 1

Answer:

x = 7 or -5.

Step-by-step explanation:

√(15-7)² + (x-1)² = 10

So, 8² + x² - 2x + 1 = 10²

i.e., x²-2x+ 64 +1 - 100 = 0

i.e., x² - 2x -35 = 0

Now, x² + 5x - 7x -35 = 0

or, x(x+5) -7(x+5) =0

i.e., x-7 = 0 or, x+5 = 0

Therefore, x = 7 or -5.