Question

If distance between point A(x, 1) and B(-3,-2)
is 5 then x is equals to​

Answer 1

Answer:

Required value of x is either 1 or - 7.

Step-by-step explanation:

Given points : A( x , 1 ) ; B( - 3 , - 2 ) .

Distance between A and B : 5 units.

Using Distance Formula : If A( a , b ) and B( c , d ) are two points with the given coordinates, then the distance between : $\sqrt{(a-c)^2+(b-d)^2}$

Similarly, here :

$\implies\sqrt{\{x-(-3)\}^2+\{1-(-2)\}}=5\\\\\implies\sqrt{(x+3)^2+(1+2)^2}=5\\\\\implies (x+3)^2+(3)^2=5^2\\\\\implies (x+3)^2=25-9\\\\\implies (x+3)^2=16\\\\\implies x+3=\pm\sqrt{16}\\\\\implies x+3=\pm 4$

Thus,

x + 3 = 4 Or x + 3 = - 4

x = 4 - 3 Or x = - 4 - 3

x = 1 Or x = - 7

Hence the required value of x is either 1 or - 7, or both may satisfy the situation.