Topic : Equation of Tangent
Question : Find the equation of the tangent line to the ellipse 25 x² + y² = 109 at the point (2,3).
Solution :
In the above equation, consider y as a function of x:
25 x² + y(x)² = 109,
and use the techniques of differentiation, to get
From this, we obtain
which implies that at the point (2,3). So the equation of the tangent line is given by
or equivalently
3y + 50 x = 109.
Question : Find the equation of the tangent line to the ellipse 25 x² + y² = 109 at the point (2,3).
Solution :
In the above equation, consider y as a function of x:
25 x² + y(x)² = 109,
and use the techniques of differentiation, to get
From this, we obtain
which implies that at the point (2,3). So the equation of the tangent line is given by
or equivalently
3y + 50 x = 109.
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