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The point which lies on y-axis at a distance of 6 units in the positive direction of y-axis is
  • a)
    (-6, 0)
  • b)
    (0, -6)
  • c)
    (0, 6)
  • d)
    (6, 0)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The point which lies on y-axis at a distance of 6 units in the positiv...
Finding the point on y-axis at a distance of 6 units in the positive direction of y-axis

Steps:
1. The point on y-axis is denoted as (0, y), where y is the y-coordinate of the point.
2. Since we want the point to be in the positive direction of y-axis, y should be positive.
3. The distance of the point from the origin is given as 6 units. Using the distance formula, we have:
- distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
- Here, x1 = 0, y1 = 0 (origin), x2 = 0 (point lies on y-axis), y2 = y
- distance = sqrt((0 - 0)^2 + (y - 0)^2) = sqrt(y^2) = y
- Therefore, y = 6
4. So, the point on y-axis at a distance of 6 units in the positive direction of y-axis is (0, 6).

Answer:
The correct answer is option C) (0, 6).
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Community Answer
The point which lies on y-axis at a distance of 6 units in the positiv...
Yes, they have written 6 unit distance so 6 unit distance from point 0 in positive side of y axis means above side of it and that's why the point will lie on 6 and therefore our abscissa will be 0 and it will be (0,6)because X axis come first and then Y axis
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