Equation x = a , ;y = b (a > b) represent a conic section whose e… - Vidyadip

MCQ

Equation $x = a\cos \theta ,\;y = b\sin \theta (a > b)$ represent a conic section whose eccentricity $e$ is given by

A
${e^2} = \frac{{{a^2} + {b^2}}}{{{a^2}}}$
B
${e^2} = \frac{{{a^2} + {b^2}}}{{{b^2}}}$
✓
${e^2} = \frac{{{a^2} - {b^2}}}{{{a^2}}}$
D
${e^2} = \frac{{{a^2} - {b^2}}}{{{b^2}}}$

✓

Answer

Correct option: C.

${e^2} = \frac{{{a^2} - {b^2}}}{{{a^2}}}$

c
(c) Obviously, it is an ellipse.

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