Multiple choice

In which of the following quadrants does the point (4, – 8) lie?

  1. 2nd quadrant

  2. 3rd quadrant

  3. 1st quadrant

  4. 4th quadrant
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D Correct answer
Explanation

The point is (4, – 8). Here, x co-ordinate is 4 > 0 and y co-ordinate is – 8 < 0. When x > 0 and y < 0, then the point (x, y) lies in the 4th quadrant. So, the point (4, – 8) lies in the fourth quadrant.                                                 OR The signs of co-ordinates of point are (+, –), which lies in the 4th quadrant. So, the point (4, – 8) lies in the 4th quadrant.

AI explanation

The fourth quadrant contains points with a positive x-coordinate and a negative y-coordinate. Since (4, -8) has x greater than zero and y less than zero, it lies to the right of the y-axis and below the x-axis, which is the fourth quadrant.

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