Coordinate Geometry Question 53
Question: The point whose abscissa is equal to its ordinate and which is equidistant from the points (1,0) and (0,3) is
Options:
A) (1, 1)
B) (2, 2)
C) (3, 3)
D) (4, 4)
Show Answer
Answer:
Correct Answer: B
Solution:
Let the point be (x, x), so according to the condition $ {{(x-1)}^{2}}+{{(x-0)}^{2}}={{(x-0)}^{2}}+{{(x-3)}^{2}} $
$ \Rightarrow -2x+1=-6x+9\Rightarrow x=2 $ .
Hence the point is (2, 2).
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