- #1

utkarshakash

Gold Member

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- 13

## Homework Statement

Find equation of the curve on reflection of the ellipse [itex]\dfrac{(x-4)^2}{16} + \dfrac{(y-3)^2}{9} = 1 [/itex] about the line x-y-2=0.

## Homework Equations

## The Attempt at a Solution

Let the general point be P(4+4cosθ,3+3sinθ). Let the reflected point be (h,k).

[itex]\dfrac{4+4cos \theta + h}{2} - \dfrac{3+3sin \theta + k}{2} - 2 =0[/itex]

I need one more condition so that I can eliminate theta.