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Tangents are drawn to the ellipse x^2/9+...

Tangents are drawn to the ellipse `x^2/9+y^2/5 = 1` at the end of latus rectum. Find the area of quadrilateral so formed

A

`27/2 sq. units`

B

`27/4 sq. units`

C

`27 sq. units`

D

18 sq. units

Text Solution

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The correct Answer is:
c
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Tangents are drawn to the hyperbola x^(2)-9y^(2)=9 from (3, 2). Find the area of the triangle that these tangents form with their chord of contact.

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Knowledge Check

  • Tangents are drawn to the ellipse (x^2)/(9) + (y^2)/(5) = 1 at end of latus rectum . Find the area of quadrilateral so formed.

    A
    27
    B
    `27//2`
    C
    `27//4`
    D
    `27//55`

  • Tangents are drawn to the ellipse (x^2)/9 + (y^2)/5 at the end of the latus rectum. The area of the quadrilateral so formed is

    A
    27
    B
    `27/2`
    C
    ` 27/4`
    D
    `27/55`

  • For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two latus rectum are the four points

    A
    `(pm 1, pm (3)/(2))`
    B
    `(pm (3)/(2), pm 1)`
    C
    `(pm (2)/(3), pm 1)`
    D
    `(pm 1,pm (2)/(3))`

    • Similar Questions

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