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Area of the greatest rectangle inscribed...

Area of the greatest rectangle inscribed in the ellipse ` x^(2)/a^(2) + y^(2)/b^(2) =1 ` is

A

2ab

B

ab

C

`sqrt(ab)`

D

`a/b`

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The correct Answer is:
A
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FULL MARKS-TWO DIMENSIONAL ANALYTICAL GEOMETRY-II-EXERCISE 5.6
  1. The centre of the circle inscribed in a square formed by the lines ...

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  2. The equation of the normal to the circle x^(2) + y^(2) -2x- 2y + 1=0...

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  3. If P (x,y) be any point on 16x^(2) + 25y^(2) = 400 with foci F(1)...

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  4. The radius of the circle passing through the point (6,2) two of whose...

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  5. The area of quardrilateral formed with foci of the hyperbolas x^(2)/a...

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  6. If the normals of the paralbola y^2=4x drawn at the end points of its...

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  7. If x + y = k is a normal to the parabola y^(2) = 12x then the va...

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  8. The ellipse E(1) : x^(2)/9 + y^(2)/4 =1 is inscribed in a rectangle ...

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  9. Tangents are drawn to the hyperbola x^(2)/9 - y^(2)/4 parallel to th...

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  10. The equation of the circle passing through the foci ellispe x^(2)/16 ...

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  11. Let C be the circle with centre at (1,1) and radius =1 . If T is the ...

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  12. Consider an ellispe whose centre is of the origin and its major axis...

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  13. Area of the greatest rectangle inscribed in the ellipse x^(2)/a^(2) ...

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  14. An ellipse has OB, as semi minor axis, F and F' its foci and the angle...

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  15. The eccentricity of the ellispse (x -3)^(2) + ( y-4)^(2) = y^(2)/9 is

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  16. If the two tangents drawn from a point P to the parabola y^(2) = 4x ...

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  17. The circle passing through (1,-2) and touching the axis of x at (3,0...

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  18. The locus of a point whose distance from (-2,0) " is " 2/3 times it...

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  19. The values of m for which the lines y = mx + 2 sqrt5 touches the hy...

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  20. If the coordinates at one end of a diameter of the circle x^(2) + y...

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