jee-main 2023 Q65

jee-main · India · session1_31jan_shift1 Conic sections Eccentricity or Asymptote Computation

If the maximum distance of normal to the ellipse $\frac{x^2}{4} + \frac{y^2}{b^2} = 1$, $b < 2$, from the origin is 1, then the eccentricity of the ellipse is:
(1) $\frac{1}{\sqrt{2}}$
(2) $\frac{\sqrt{3}}{2}$
(3) $\frac{1}{2}$
(4) $\frac{\sqrt{3}}{4}$

If the maximum distance of normal to the ellipse $\frac{x^2}{4} + \frac{y^2}{b^2} = 1$, $b < 2$, from the origin is 1, then the eccentricity of the ellipse is:\\
(1) $\frac{1}{\sqrt{2}}$\\
(2) $\frac{\sqrt{3}}{2}$\\
(3) $\frac{1}{2}$\\
(4) $\frac{\sqrt{3}}{4}$

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