Question

If distance between the points (-1,a) and (2,3) is 3 units then the value of a is ​

Answer 1

Answer:

According to distance formula,

$\sqrt{[x2-x1] + [y2-y1]}$ = Distance between two points

Therefore, $\sqrt{[2-(-1)] + [3-a]} = 3$

$\sqrt{3 + 3-a }$ = 3

$\sqrt{6-a} = 3$

$-a = \frac{3}{\sqrt{6}}$

$-a = 1.224\\a = -1.224//$

Hence  the  value  of  a  is  1.224

Answer 2

If squering both sides answer will be

a= 1.224