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The point (3, 5) is at minimum distance from which axis?

A. x-axis
B. y-axis
C. Origin
D. Both a and b
Correct Answer: B. y-axis

In a Cartesian coordinate system, the distance of a point (x, y) from the x-axis is given by the absolute value of its y-coordinate, |y|. Similarly, the distance of the point from the y-axis is given by the absolute value of its x-coordinate, |x|. To find the minimum distance, we compare these two values.

  • For the point (3, 5):
  • Distance from the x-axis = |5| = 5 units.
  • Distance from the y-axis = |3| = 3 units.
  • Since 3 is less than 5, the point (3, 5) is at a minimum distance from the y-axis.
  • The Origin (0,0) is at a distance of sqrt(3² + 5²) = sqrt(34) ≈ 5.83 units, which is greater.
  • Therefore, Both a and b is incorrect as the distances are not equal.

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