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Parabola question

2022 · 29 Jun · Shift 1 · Q34
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  5. /2022 · 29 Jun · Shift 1 · Q34

Parabola question

2022 · 29 Jun · Shift 1 · Q34

JEE MainMathematicsParabolaMCQ+4 / −1
Let PQ be a focal chord of the parabola y2 = 4x such that it subtends an angle of π2{\pi \over 2}2π​ at the point (3, 0). Let the line segment PQ be also a focal chord of the ellipse E:x2a2+y2b2=1E:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1E:a2x2​+b2y2​=1, a2>b2{a^2} \gt {b^2}a2>b2. If e is the eccentricity of the ellipse E, then the value of 1e2{1 \over {{e^2}}}e21​ is equal to :
  1. A
    1+21 + \sqrt 21+2​
  2. B
    3+223 + 2\sqrt 23+22​
  3. C
    1+231 + 2\sqrt 31+23​
  4. D
    4+534 + 5\sqrt 34+53​
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