Question

if the points (3,2) and (2,-3) are equidistant from(x,y) find x and y​

Answer 1

x=1

y=5.....................

Answer 2

Answer:

The values of x and y are 5/2 and -1/2 respectively.

Given:

• The points (3, 2) and (2, -3) are equidistant from (x , y)

To find:

• The value of x and y.

Solution:

We can join any to points on graph, let join points (3, 2) and (2, -3).

Let point A (x , y) be such that it is equidistant from both the points.

It means A (x , y) is a midpoint.

By midpoint theorem

$\boxed{\sf{x=\dfrac{x_{1}+x_{2}}{2}, \ y=\dfrac{y_{1}+y_{2}}{2}}}$

$\sf{\therefore{x=\dfrac{3+2}{2}}}$

$\sf{\therefore{x=\dfrac{5}{2}}}$

$\sf{y=\dfrac{2+(-3)}{2}}$

$\sf{\therefore{y=\dfrac{-1}{2}}}$

Therefore, the values of x and y are 5/2 and -1/2 respectively.