If the distance between the pointegrals (a, 2) and (3, 4) be... | MATH - SYSTEM OF CO-ORDINATES, DISTANCE BETWEEN | SolveeIt | Solveeit

Today, August 18

Question

If the distance between the points (a, 2) and (3, 4) be 8, then

a =

A

2 + $3\sqrt{15}$

B

2 – $3\sqrt{15}$

C

2 ± $3\sqrt{15}$

D

3 ± $2\sqrt{15}$

Answer

3 ± $2\sqrt{15}$

Explanation

Solution

$\sqrt{(a - 3)^{2} + (2 - 4)^{2}}$ = 8

Ž (a – 3)² = 60

Ž a – 3 = ± $2\sqrt{15}$

Ž a = 3 ± $2\sqrt{15}$