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Determine if the following statements are true or false. motivate your answer! a). The equation x^2+y^2-2<0 b). The slope of a straight line can't be equal to zero. c). If /a/=/b/, then a=b

OCW Scholar - Principles of Microeconomics
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a) False. The equation x^2+y^2-2=0 is an equation for circle of radius sqrt(2). x^2+y^2-2>0 indicates the equation for circles with radii greater than root of 2. So the equation is not true b)False. The slope of a straight line is the tan of the angle it makes with x axis. For a straight line which makes an angle 0 with x axis(a straight line parallel to the x axis or x axis itself), the tan value is 0. c)False. A and b could be different signs, and still their mod values would be the same. Eg. a=-5, b=5, /a/=5; /b/=5 but a not equal to b

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