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Step-by-step explanation:
8) Slope of tangent to the curve 4x²+9y²=36 is 1. since it is equally inclined to the axes.
dy/dx =4x/9y =1
⇒x= 9y/4
On solving obtained equation with the equation of curve, we get y=±4/√13
Substituting value of y we get
(x,y)= (9/√13,4/√13), (−9/√13,4/√13), (9/√13,-4/√13)
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