Characteristics of four quadrants

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Characteristics of the four quadrants:

Quadrants


  • Quadrant I: X is Positive, Y is Positive
    Quadrant II: X is Negative, Y is Positive
    Quadrant III: X is Negative, Y is Negative
    Quadrant IV :X is Positive, Y is Negative
    Question 1

    Find the number of points with integral coordinates which lie in the region enclosed by |x|+|y| = 4 or on the boundary.

    Question 2

    Find the number of integral points (x,y) that satisfy $$\frac{x^2}{16}+\frac{y^2}{25} \leq 1$$

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