Question

if (2, 4) is the midpoint of the line segment AB with coordinates A= (a, 0) and B=(0, b). Then, find the values of a and b are ____ ​

Answer 1

The value of =4&b=8

As we solve

Answer 2

Given:

(2, 4) is the midpoint of the line segment AB with coordinates A= (a, 0) and B=(0, b).

To find:

The values of a and b.

Solution:

As we know that the coordinates (m, n) of the midpoint of the line segment AB with coordinates A = (x, y) and B = (a, b) is given by using the formula:

$m = \frac{x + a}{2}$

and

$n = \frac{y + b}{2}$

Now, as given, we have

the midpoint of a line segment AB = (2,4)

Coordinates of A = (a, 0)

Coordinates of B = (0, b)

So,

$2 = \frac{a + 0}{2}$

$a = 4$

and

$4 = \frac{0 + b}{2}$

$b = 8$

Hence, the values of a and b are 4 and 8 respectively.