In which quadrant or on which axis the following points lie:

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answer is B.

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Detailed Solution

Concept: Only the first and fourth quadrants of the figure have positive values for x, while the first and second quadrants of the figure have positive values for y. Only the second and third questions and the third and fourth quadrants include negative values for x and y, respectively.
We have provided the following points: (-3,5), (4,-1), (2,0), (2,2), and (-3,-6). And we need to determine which quadrant or axis these points fall on. We will address each of these issues individually. First, we will create a diagram of quadrants that share all of the conditions in various quadrants.
Question Image

Points (-3, 5) will be addressed first. By observation, we discovered that this point will be located in the second quadrant because the values of x and y are both negative. For (4, -1) now This point will be located in the fourth quadrant because, as we can see, the value of x is positive and the value of y is negative. Then, for (2,0). Since the value of y is zero at this location, the point is on the x-axis. The point at (2, 2) will now be placed in the first quadrant because the values of x and y are both positive at this time. And now for (-3,- 6) This point will be located in the third quadrant because the values of x and y are both negative at this time. As a result, the (-3,5) is located in the second quadrant, (4,-1) is located in the fourth quadrant, (2,0) is located on the x-axis, (2,2) is located in the first quadrant, and (-3,-6) is located in the third quadrant.
Hence, the correct answer is option 2.

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