Question

How do you find the value of a given the points (2,a), (2,3) with a distance of 10?

Answer 1

we know that

the distance b/w two points is

$\sqrt ({x2 - x1})^{2} + (y2 - y1)^{2}$

$\sqrt{ ({3 - a})^{2} } = 10 \\ ({3 - a})^{2} = 100 \\ 9 + {a }^{2} - 6a = 100 \\ a = - 7$

here is your answer buddy

Answer 2

according to me, a = 13 or -7

hope, it helps u...