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Analytical Geometry
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Both the parabolas are symmetric to the line x=y. Therefore, equating their slopes to 1, for parabola x^2=y-1, dy/dx = 1 2x =1 x=1/2 corresponding value of y by putting the value of x in the eq. of parabola we get y=5/4 Similarly, for the parabola y^=x-1, dx/dy =1 2y=1 y=1 corresponding value of x by putting the value of y in the eq. of parabola we get x=5/4 The minimum distance is between the points (1/2,5/4) and (5/4,1/2) And 3√2/4
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