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Parabola question

2022 · 25 Jun · Shift 1 · Q37
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  5. /2022 · 25 Jun · Shift 1 · Q37

Parabola question

2022 · 25 Jun · Shift 1 · Q37

JEE MainMathematicsParabolaMCQ+4 / −1
Let x=2tx = 2tx=2t, y=t23y = {{{t^2}} \over 3}y=3t2​ be a conic. Let S be the focus and B be the point on the axis of the conic such that SA⊥BASA \bot BASA⊥BA, where A is any point on the conic. If k is the ordinate of the centroid of the Δ\DeltaΔ SAB, then lim⁡t→1k\mathop {\lim }\limits_{t \to 1} kt→1lim​k is equal to :
  1. A
    1718{{17} \over {18}}1817​
  2. B
    1918{{19} \over {18}}1819​
  3. C
    1118{{11} \over {18}}1811​
  4. D
    1318{{13} \over {18}}1813​
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