Find the coordinates of the point on x-axis which is nearest to the point (2, -4).
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Verified answer
Given that the point lies on x-axis, so the y-coordinate will be 0.
Let the given point be A(2,-4).
Let the required coordinate be B(p,0).
Now,
x1 = 2, y1 = -4, x2 = p. y2 = 0.
Now,
The minimum of the expression p - 2 is 0.
= > p - 2 = 0
= > p = 2.
Therefore, the required coordinate is (2,0).
Hope this helps!