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The area (in sq units) of the quadrilate...

The area (in sq units) of the quadrilateral formed by the tangents at the end points of the latus rectum to the ellipse `x^(2)/9+y^(2)/5=1` is

A

Co-ordinates of one of a latus rectum are `(2, (5)/(3))`

B

Equation of tangent is `(2)/(9)x + (y)/(3) =1`

C

Area of a quadrilateral so formed is 27 sq. units

D

Centre of the ellipse is (2, 3)

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A, B, C
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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-C
  1. y^2-2x-2y+5=0 represents

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  2. If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

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  3. Two parabolas have the same focus. If their directrices are the x- and...

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  4. The normal to parabola y^(2) =4ax from the point (5a, -2a) are

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  5. The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

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  6. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

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  7. Let P be a variable on the ellipse (x^(2))/(25)+ (y^(2))/(16) =1 with ...

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  8. The area (in sq units) of the quadrilateral formed by the tangents at ...

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  9. The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(...

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  10. Equation ofa tangent passing through (2, 8) to the hyperbola 5x^(2) - ...

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  11. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

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  12. The angle between a pair of tangents drawn from a point P to the hyper...

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  13. Tangents at any point P is drawn to hyperbola (x^(2))/(a^(2)) - (y^(2)...

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  14. A normal to the hperbola (X^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

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  15. If one of varying central conic (hyperbola) is fixed in magnitude and ...

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  16. For the equation of rectangular hyperbola xy = 18

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  17. The equation of the asymptotes of a hyperbola are 4x - 3y + 8 = 0 and ...

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  18. The feet of the normals to (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 from (h...

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  19. If the tangent at the point (asec alpha, b tanalpha ) to the hyberbola...

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  20. If equation of hyperbola is 4(2y -x -3)^(2) -9(2x + y - 1)^(2) = 80, t...

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