Home
Class 12
MATHS
A point lies on X-axis at a distance 5 u...

A point lies on X-axis at a distance 5 units from Y-axis. What are its coordinates ?

Text Solution

AI Generated Solution

The correct Answer is:
To find the coordinates of a point that lies on the X-axis at a distance of 5 units from the Y-axis, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Coordinate System**: - The X-axis is the horizontal line where the y-coordinate is always 0. - The Y-axis is the vertical line where the x-coordinate is always 0. 2. **Identify the Distance from the Y-axis**: - The problem states that the point is 5 units away from the Y-axis. This means the x-coordinate of the point will be either +5 or -5, depending on which side of the Y-axis the point lies. 3. **Determine the Location on the X-axis**: - Since the point lies on the X-axis, we know that the y-coordinate will be 0. 4. **Write the Coordinates**: - If the point is 5 units to the right of the Y-axis, its coordinates will be (5, 0). - If the point is 5 units to the left of the Y-axis, its coordinates will be (-5, 0). 5. **Conclusion**: - Therefore, the coordinates of the point can be either (5, 0) or (-5, 0). ### Final Answer: The coordinates of the point are (5, 0) or (-5, 0).
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|19 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

A point lies on Y-axis at a distance 4 units from X-axis. What are its coordinates ?

A point lies on negative direction of X-axis at a distance 6 units from Y-axis. What are its coordinates ?

A point lies on positive direction of X-axis at a distance of 7 units from the Y-axis . What are its coordinates? What will be the coordinates, if it lies on negative direction of Y-axis at a distance of 7 units from X-axis ?

on a cartesian plane, draw a line segment XY parallel to x -axis at a distance of 5 units from x -axis and a line segment PQ parallel to y -axis at a distance of 3 units from y -axis .write the co-ordinates of their point of intersection.

In figure LM is a line parallel to the Y-axis at a distance of 3 units . (i) What are the coordinates of the points P,R and Q ? (ii) What is the difference between the abscissa of the points L and M ?

A point P lies on x-axis and another point Q lies on y-axis. Write the ordinate of the point P.

The point which lies on Y-axis at a distance of 5 units in the negative direction of Y-axis is

A point on y-axis at a distance sqrt(20) units from the point (2, 2, 5) is

The point (1, - 2) is reflected in the x -axis and then translated parallel to the positive direction of x-axis through a distance of 3 units, find the coordinates of the point in the new position.

Find the co-ordinates of points on the x-axis which are at a distance of 5 units from the points (6, -3).