MathematicsMedium92×since 2002Q4731Let 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\DeltaΔSAB, then limt→1k\mathop {\lim }\limits_{t \to 1} kt→1limk is equal to :A1718{{17} \over {18}}1817B1918{{19} \over {18}}1819C1118{{11} \over {18}}1811D1318{{13} \over {18}}1813Check answerSkip