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Previous Year Question (PYQs)



The equation of a circular cylinder, whose guiding curve is $ x^2+y^2+z^2=9,\quad x-y+z=3 $ will be





Solution

Eliminate the plane equation from sphere to get quadratic surface representing cylinder. Correct reduction gives: $ x^2+y^2+z^2+xy+yz-zx-9=0 $


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