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If abscissa of a point is zero then that...

If abscissa of a point is zero then that point will lie

A

on x-axis

B

on y-axis

C

at origin

D

in 1st quadrant

Text Solution

AI Generated Solution

The correct Answer is:
To determine where a point lies when its abscissa (x-coordinate) is zero, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Abscissa and Ordinate**: - The abscissa of a point is its x-coordinate, and the ordinate is its y-coordinate. - A point in a 2D coordinate system is represented as (x, y). 2. **Given Condition**: - The problem states that the abscissa of the point is 0. This means that the x-coordinate is 0. 3. **Identifying the Position**: - If the x-coordinate (abscissa) is 0, the point can be represented as (0, y), where y can be any real number. 4. **Locating the Point**: - When x = 0, the point lies directly on the y-axis. - The y-axis is the vertical line where all points have an x-coordinate of 0. 5. **Conclusion**: - Therefore, if the abscissa of a point is 0, that point will always lie on the y-axis. ### Final Answer: If the abscissa of a point is zero, then that point will lie on the y-axis.
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Knowledge Check

  • Abscissa of a point is positive in

    A
    I and II quadrants
    B
    I and IV quadrants
    C
    I quadrant only
    D
    II quadrant only
  • If both the coordinates of a point are negative then that point will lie in

    A
    First quadrant
    B
    Second quadrant
    C
    Third quadrant
    D
    Fourth quadrant
  • The abscissa of a point is the distance of the point from

    A
    x-axis
    B
    y-axis
    C
    origin
    D
    None of these
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