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Find the orthogonal trajectory of the curve x^2 + y^2 = 2 ln cx
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- a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t, where x is the horizontal direction and y is the upward direction. the projectile lands after a. 16 seconds b. 8 seconds c. 4secondsFind the orthogonal trajectory of the curve x^2-y^2+2Cx=0Find an equation of the curve in the xy-plane that passes through the point (2, 3) and has, at every point (x, y) on it, slope 2x/(1 + y^2 ). Explain your answer.