Find the Equation of the Osculating Circle of the Ellipse $\left( \operatorname { acos } t , \frac { a } { 2 } \sin t , 0 \right) \text { at } t = \frac { \pi } { 2 } \text {. }$

question 109

Essay

Find the equation of the osculating circle of the ellipse whose equation is given by $\left( \operatorname { acos } t , \frac { a } { 2 } \sin t , 0 \right) \text { at } t = \frac { \pi } { 2 } \text {. }$

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