If the tangent to the curve y = x/(x^2 - 3), x ∈ R, (x ≠ ±√(3)), at a point (α, β) ≠ (0, 0) on it is parallel to the line 2x + 6y - 11 = 0, then

If the tangent to the curve y = x/(x^2 - 3), x ∈ R, (x ≠… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 10 April · Shift II

If the tangent to the curve

y = \frac{x}{x^2 - 3}

x \in R

(x \neq \pm\sqrt{3})

, at a point

(\alpha, \beta) \neq (0, 0)

on it is parallel to the line

2x + 6y - 11 = 0

, then

Show answer

Correct option: A

[JEE Main 2019 · 10 April · Shift II]

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