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If the distance between the points (a, 0, 1) and (0, 1, 2) is \sqrt{27} , then the value of a is
A. 5
B. ± 5
C. – 5
D. none of these

Answers (1)

The answer is the option (b) ±5

Given: A(a,0,1) & B(0,1,2)

& OP = \sqrt{(a-0)^{2}+(0-1)^{2}+(1-2)^{2}} 

                  = \sqrt{27} 

Thus, a2 + 2 = 27

a2 = 25

a = ±5

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