jee-main 2020 Q57

jee-main · India · session2_06sep_shift2 Conic sections Eccentricity or Asymptote Computation

If the normal at an end of latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity e of the ellipse satisfies:
(1) $\mathrm{e}^{4}+2\mathrm{e}^{2}-1=0$
(2) $\mathrm{e}^{2}+\mathrm{e}-1=0$
(3) $\mathrm{e}^{4}+\mathrm{e}^{2}-1=0$
(4) $\mathrm{e}^{2}+2\mathrm{e}-1=0$

If the normal at an end of latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity e of the ellipse satisfies:\\
(1) $\mathrm{e}^{4}+2\mathrm{e}^{2}-1=0$\\
(2) $\mathrm{e}^{2}+\mathrm{e}-1=0$\\
(3) $\mathrm{e}^{4}+\mathrm{e}^{2}-1=0$\\
(4) $\mathrm{e}^{2}+2\mathrm{e}-1=0$

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