Where does the point (– 2, 4) lie on the coordinate plane?

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1st quadrant

2nd quadrant

3rd quadrant

4th quadrant

answer is B.

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Detailed Solution

The given point is (– 2, 4) designated as E (say).
Taking into consideration the positive values of co–ordinates as +, and their negative values as –, note the following points.
(+, +) is in the first quadrant, (–, +) in the second quadrant, (–, –) in the third quadrant, (+, –) in the fourth quadrant.
For reference start from the origin.
We plot the x–coordinate by moving 2 units on the negative side of the x–axis and then plot the y–coordinate by moving 4 units parallel to the y–axis on the positive side as shown on the graph.
Question Image

Hence, the point (–2, 4) lies on the second quadrant. It is drawn on the graph on the plane with suitable units of distance on the axes.
Therefore, the correct option is 2.

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