change of axes

By transforming to parallel axes through a properly chosen point (h,k), prove that the eqn,
12x2-10xy+2y2+11x-5y+2=0
can be reduced to one containing only terms of the second degree.

3 Answers

62
Lokesh Verma ·

hint: (One method)

substitute x+a=X and y+b=Y

and then try to eliminate the constant term...

Now try to solve..

Nishant just went mad :P

1
sumit_kumar ·

But how to eliminate the terms of first degree.

1
sumit_kumar ·

plz solve

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