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If C is the centre and L and L' are the ends of the latus-rectum of the ellipse `(x^(2))/(25)+(y^(2))/(16)=1`, then the area of the triangle CLL' is :

A

4.8 (sq). units

B

9.6 (sq) . Units

C

19.6 (sq). Units

D

none of these

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The correct Answer is:
B
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. If the focii of (x^(2))/(16)+(y^(2))/(4)=1 and (x^(2))/(a^(2))-(y^(2...

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  2. If the latus-rectum of the ellipse is half the minor axis, then its ec...

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  3. If C is the centre and L and L' are the ends of the latus-rectum of th...

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  4. The equation of auxiliary circle of the hyperbola (x^(2))/(4)-(y^(2))/...

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  5. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

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  6. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  7. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

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  8. Let P(x(1), y(1)) and Q(x(2), y(2)), y(1) lt 0, y(2) lt 0 be the end p...

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  9. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

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  10. The line passing through the extremity A of the major axis and extremi...

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  11. A focus of an ellipse is at the origin. The directrix is the line x=4 ...

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  12. The ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with c...

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  13. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

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  14. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

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  15. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

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  16. The eccentricity of an ellipse with centre at the origin which meets t...

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  17. The equation to the ellipse (referred to its axes as the axes of x and...

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  18. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

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  19. The line L x+m y+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2)...

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  20. The angle between the pair of tangents drawn from the point (1,2) to t...

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