ISI2015-DCG-43

Question

Four tangents are drawn to the ellipse $\displaystyle{}\frac{x^2}{9} + \frac{y^2}{5} =1$ at the ends of its latera recta. The area of the quadrilateral so formed is

• A. $27$
• B. $\frac{13}{2}$
• C. $\frac{15}{4}$
• D. $45$

Comments

C?

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Already answered here:  https://gateoverflow.in/321114/isi2016-dcg-43