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Analytical Geometry

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3 Apr 2008 18:56:36 IST

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320

PARABOLA 2

None

minimum distance between the curves y^2 = x-1 and x^2 = y-1 is _________ ?

ans: 3/4*sqrt2

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joy francis

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Joined: 19 Feb 2007

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3 Apr 2008 22:09:43 IST

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Find the equation of the normals to the two parabolas in terms of t and t'. To measure the distance these two should be the same lines..so the coefficients would be proportional..this way you can find t and t' and the points and hence the shortest distance by simple distance formula.

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