The ellipse $$\(E\)$$ has equation $$\[ \frac{x^{2}}{49}+\frac{y^{2}}{b^{2}}=1 \]$$ where $$\(b\)$$ is a constant and $$\(0< b< 7\)$$ The eccentricity of the ellipse is $$\(e\)$$ Given that the $$\(x\)$$ coordinate of $$\(P\)$$ is $$\(\frac{7}{2}\)$$ (e) determine the area of triangle $$\(O P M\)$$, where $$\(O\)$$ is the origin. (3)

Answer:

Knowledge points:

Solution: