The equation 2x-y = 4 meets

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x-axis at (-4,0)

y-axis at (0,2)

x-axis at (2,0)

y-axis at (2,-4)

answer is C.

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Detailed Solution

First, we will find the points of intersection of the given line and the x–axis.
The x–axis is given by the equation y = 0.
The value of the ordinate at each point on the x–axis is 0, irrespective of the value of the abscissa.
We need to find the point of intersection of the equations 2x – y = 4 and y = 0.
Substituting y = 0 in the equation 2x – y = 4, we get
⇒ 2x − 0 = 4
Subtracting the terms in the equation, we get
⇒ 2x = 4
Dividing both sides by 2, we get
⇒ x = 2
Thus, if y = 0, then x = 2.
Therefore, the point of intersection of the line 2x – y = 4 and the equation y = 0 is (2, 0).
Hence, the equation 2x – y = 4 meets the x–axis at (2, 0).

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