The length of the line joining points (x,4) and (-x,3) is...
The length of the line joining points (x,4) and (-x,3) is 7 units. Find the value of x.
4√3
2√6
3√2
2√3
Correct answer is D
d = √(x2−x1)2+(y2−y1)2
x1 = x, x2 = -x, y1 = 4, y2 = 3, d = 7
7 = √(−x−x)2+(3−4)2
7 = √(−2x)2+(−1)2
7 = ( √4x2+1
square both sides
72 = 4x2 + 1
collect like terms
4x2 = 49 - 1
4x2 = 48
x2 = 484
x2 = 12
x = √12
x = 2√3
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