find the possible values of a if the points with the given coordinates are the indicated distance apart.

Question

(4,7),(a,3); d=5
(5,a), (6,1); d= square root of 10
(6,-3),(-3,a); d= square root of 130

Answer 1

1) Let given ponts are

Formula for distance between two points is

Distance between the above points is 5.

Apply squre root on each side.

Subtract 25 from each side.

Take out common factors.

Add 7 to each side. and add 1 to each side.

Possible values of a = 7 and 1.

Answer 2

2) Let given ponts are

Formula for distance between two points is squre root of 10.

Apply squre on each side.

Subtract 10 from each side.

Take out common factors.

Possible values of a = 4 and -2.

Answer 3

1) Let given ponts are

Formula for distance between two points is

Distance between the above points is 5.

Apply squre on each side.

Subtract 25 from each side.

Take out common factors.

Possible values of a = 7 and 1.

Answer 4

3) Let given ponts are

Formula for distance between two points is

Formula for distance between two points is squre root of 130.

Apply squre on each side.

Subtract 130 from each side.

Take out common factors.

Possible values of a = 4 and -10.