If the distance between the points (2, 2) and (-1, x) is 5, one of the values of x is
(a) -2 (b) 2 (c)-1 (d) I
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Answer:
a) -2
Step-by-step explanation:
Distance between the points (2, 2) and (-1, x)
= √(2-(-1))^2 + (2-x)^2 = 5 (given)
√3^2 + (2- x)^2 = 5
9 + 4 - 4x + x^2 = 25
x^2 - 4x - 12 = 0
(x-6)(x+2) = 0
x = 6, -2
So, one value of x is -2
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