Question

Q.3.Find the value of y if the
distance between the points
A(2,-2) and B(-1,y) is 5. *
O A) 3 or 5
O B) 2 or -6
O C) 3 or-5
O D) 6 or -8​

Answer 1

$5 = \sqrt{ {( - 1 - 2)}^{2} + {(y + 2)}^{2} } \\ \\ 25 = 9 + {y}^{2} + 4y + 4 \\ \\ 12 = {y}^{2} + 4y \\ \\ {y}^{2} + 4y - 12 = 0 \\ \\ {y}^{2} + 6y - 2y - 12 = 0 \\ \\ y(y + 6) - 2(y + 6) = 0 \\ \\ (y - 2)(y + 6) = 0 \\ \\ y = 2 \: \: \: \: \: \: \: \: \: y = - 6$

PLEASE MARK ME AS BRAINLIST