Multiple choice maths fundamentals pair of straight lines distances and midpoints distance formula in 2d Find $a$ if the distance between $(a , 2)$ and $(3 , 4)$ is $8 $ $ 3 \, \pm \, \sqrt {60}$ $ 4 \, \pm \, \sqrt {60}$ $ 3 \, \pm \, \sqrt {6}$ None of these Reveal answer Fill a bubble to check yourself A Correct answer Explanation By square of distance formual:$8^2=(3-a)^2+(4-2)^2$$=>64=a^2-6a+13$$=>a^2-6a-51=0$solving the quadratic we get:$a=(3+\sqrt(60)$ or $(3-\sqrt(60))$.