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sohan singh singh Grade: 12
        

Find the minimum distance between the curves y^2 = x-1 and x^2 = y-1                                   please give detail  solution

7 years ago

Answers : (1)

Nehal Wani
21 Points
										

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 32/4

7 years ago
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