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 remaini

Question

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 remaini

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.

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - `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`

6 views Answered 2023-02-05 15:29