Math  /  Geometry

QuestionDetermine if the ratio yr\frac{y}{r} is positive or negative for point (x,y)(x, y) in the first quadrant, where r=x2+y2r=\sqrt{x^{2}+y^{2}}.

Studdy Solution
Given that yy is positive (as we are in the first quadrant) and rr is positive (as it is the square root of the sum of squares of xx and yy), the ratio yr\frac{y}{r} will be positive.
Therefore, the ratio yr\frac{y}{r} is positive in the first quadrant.

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