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If $t₁, t₂$ and $t₃$ are distinct, the points $(t₁, 2at₁+at₁³), (t₂, 2at₂+at₂³), (t₃, 2at₃+at₃³)$ are collinear if

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If $t1, t2$ and $t3$ are distinct, the points $(t1, 2at1+at1), (t2, 2at2+at2), (t3, 2at3+at3)$ are collinear if

Updated On: Apr 15, 2026

$t_{1}t_{2}t_{3}=1$
$t_{1}+t_{2}+t_{3}=t_{1}t_{2}t_{3}$
$t_{1}+t_{2}+t_{3}=0$
$t_{1}+t_{2}+t_{3}=-1$

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The Correct Option is C

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If $t₁, t₂$ and $t₃$ are distinct, the points $(t₁, 2at₁+at₁³), (t₂, 2at₂+at₂³), (t₃, 2at₃+at₃³)$ are collinear if

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The Correct Option is C

Solution and Explanation

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