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find the equation of tangent to the ellipse 9x2+16y2=144

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Find the equation of the tangent and normal to the ellipse 9x2 + 16y2 = 144 at the end of the latus rectum in the first quadrant.

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Given ellipse is 9x2 + 16y2 = 144

End of the latus rectum in first Quadrant 

Equation of the tangent at P is S1 = 0

Equation of the normal at P is

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