Question

Find the values of x for which the distance between the point P(2, −3), and Q (x, 5) is 10.

 

Answer 1

It is given that distance between P (2,−3) and Q (x , 5) is 10.

In general, the distance between A`(x_1 , y_1) " and B "  (x_2 , y_2 )`  is given by,

`AB^2 =  (x_2 - x_1 )^2 + (y_2 - y_1)^2`

So,

`10^2 = ( x - 2)^2 + ( 5 +3)^2`

On further simplification,

`(x - 2)^2 = 36`

            `  x = 2 +- 6`

                = 8 , - 4