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Parabola question

2023 · Shift 1 · Q24
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  5. /2023 · Shift 1 · Q24

Parabola question

2023 · Shift 1 · Q24

JEE AdvancedMathematicsParabolaMCQ+3 / −1
Let PPP be a point on the parabola y2=4axy^2=4 a xy2=4ax, where a>0a\gt 0a>0. The normal to the parabola at PPP meets the xxx-axis at a point QQQ. The area of the triangle PFQP F QPFQ, where FFF is the focus of the parabola, is 120 . If the slope mmm of the normal and aaa are both positive integers, then the pair (a,m)(a, m)(a,m) is
  1. A
    (2,3)(2,3)(2,3)
  2. B
    (1,3)(1,3)(1,3)
  3. C
    (2,4)(2,4)(2,4)
  4. D
    (3,4)(3,4)(3,4)
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