Question

If the distance of the points (2, -3) and (-8 ,-11) are equal from the point (k, -7), then the value of k is​

Answer 1

Answer:

Let A(2,-3), B(-8,-11) and p(k, -7)

according to statement

pa = pb

$\sqrt{ {(k - 2)}^{2} + {( - 7 + 3)}^{2} } = \sqrt{ {(k + 8)}^{2} + {( - 7 + 11)}^{2} } \\ squaring \: both \: sides \\ {k}^{2} + 4 - 4k + 16 = {k}^{2} + 64 + 16k + 16 \\ - 20k = 60 \\ k = - 3$