Tag: fundamentals

Questions Related to fundamentals

Find $a$ if the distance between $(a , 2)$ and $(3 , 4)$  is $8 $

maths fundamentals pair of straight lines distances and midpoints distance formula in 2d

  1. $ 3 \, \pm \, \sqrt {60}$

  2. $ 4 \, \pm \, \sqrt {60}$

  3. $ 3 \, \pm \, \sqrt {6}$

  4. None of these

Show answer
Correct Option: A
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 $(3-\sqrt(60))$.