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Standard XII

Mathematics

Focii of Ellipse

Suppose that ...

Question

Suppose that the foci of the ellipse are (f₁, 0) and (f₂, 0) where f₁ >0 and f₂ <0 .Let P₁ and P₂ be two parabolas with a common vertex at (0, 0) and with foci at (f₁, 0) and (2f₂, 0), respectively. Let T₁ be a tangent to P₁ which passes through (2f₂, 0) and T₂ be a tangent to P₂ which passes through (f₁, 0). If m₁ is the slope of T₁ and m₂ is the slope of T₂, then the value of is

$4$

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The correct option is A
$4$

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The correct option is A 4

The correct option is A
$4$