IIT JEE 2009 P2 Q22

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The normal at a point P on the ellipse x²+4y²=16 meets the x axis at Q.
If M is the midpoint of the line segment PQ, then the locus of M intersects the latus rectum of the given ellipse at the points

\left(\ \pm3\sqrt{5}/2,\pm2/7 \right)

\left(\ \pm3\sqrt{5}/2,\pm \sqrt{19}/4 \right)

\left(\ \pm2\sqrt{3}, \pm 1/7 \right)

\left(\ \pm2\sqrt{3}, \pm 4\sqrt{3}/7 \right)

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5 Answers

greatvishal swami ·2009-04-12 07:46:52

c ??

pls iska ans zaroor batana

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dibya jagaddev ·2009-04-12 09:09:14

ans b

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Celestine preetham ·2009-04-12 09:32:48

c for sure

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ANKIT GOYAL ·2009-04-12 10:00:21

mine 2 is c

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kaymant ·2009-04-12 10:21:41

The answer is C. The locus of M is turning out to be \left(\dfrac{2x}{7}\right)^2+y^2=1.

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Basic Integral Calculus Operators Symbols Matrix Cases

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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IIT JEE 2009 P2 Q22

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