Find the angle of intersection of curve `(x^2)/(a^2)+(y^2)/(b^2)=1` and `x^2+y^2=a b`

Explanation

Given curves are,

`frac{x^{2}}{a^{2}}+frac{y^{2}}{b^{2}}=1 ldots(1)`

` x^{2}+y^{2}=a b ldots(2)`

Multiplying `(2)` by `frac{1}{a^{2}},`

`frac{x^{2}}{a^{2}}+frac{y^{2}}{a^{2}}=frac{b}{a} ldots(3)`

Subtracting `(1)` from `(3)`, we get



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