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Find the equation to which the equation `x^2+7x y-2y^2+17 x-26 y-60=0` is transformed if the origin is shifted to the point `(2,-3),` the axes remaining parallel to the original axies.

Text Solution

Verified by Experts

The correct Answer is:
`X^2+7XY-2Y^2-4=0`
Here, the new origin is `(2,-3)` Then,
`x=X+2,Y=Y-3`
and the given equation tranforms to
`(X+2)^2+7(X=2)(Y-3)-2(Y-3)-2(Y-3)^2+17(X+2)-26(Y-3)-60=0` or `X^2+7XY-2Y^2-4=0`
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