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The equation of the x-axis is...

The equation of the `x-`axis is

A

`(x=0)`

B

`y=0`

C

`x=y`

D

`x+y=0`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the equation of the x-axis, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Axes**: - The x-axis is the horizontal line in a Cartesian coordinate system where the value of y is always zero. 2. **Identifying the Condition for the x-axis**: - On the x-axis, no matter what the value of x is (it can be positive, negative, or zero), the value of y is always 0. 3. **Writing the Equation**: - Since y is always 0 on the x-axis, we can express this as an equation: \[ y = 0 \] 4. **Conclusion**: - Therefore, the equation of the x-axis is: \[ \text{Equation of x-axis: } y = 0 \]
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Knowledge Check

  • The vector equation of the x-axis is given by

    A
    `vec(r ) =hat(i)`
    B
    `vec(r )=hat(j) +hat(k)`
    C
    `vec(r ) =lambdahat(i)`
    D
    none of these

  • Consider the following statements : 1. The equation to a straight line parallel to the axis of x is y=d , where d is a constant. 2. The equation to the axis of x is x=0 . Which of the statement (s) given above is/are correct ?

    A
    1 only
    B
    2 only
    C
    Both 1 and 2
    D
    Neither 1 nor 2

  • The equation of X-axis is of the form

    A
    x=0
    B
    y=0
    C
    x+y=0
    D
    x=y

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