Let a line {L}: 2 {x}+{y}={k}, {k}>0 be a tangent to the hyperbola {x}^{2}-{y}^{2}=3 . If {L} is also a tangent to the parabola {y}^{2}=\\alpha{x}, then \\alpha is equal to : [22 Jul 2021 Shift 2]

Hyperbola

Section: Mathematics

Question : 56 of 92

Marks: +1, -0

Let a line L:2x+y=k,k>0 be a tangent to the hyperbola x2−y2=3. If L is also a tangent to the parabola y2=αx, then α is equal to :

[22 Jul 2021 Shift 2]

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