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The line passing through the extremity `A` of the major exis and extremity `B` of the minor axis of the ellipse `x^2+9y^2=9` meets is auxiliary circle at the point `Mdot` Then the area of the triangle with vertices at `A ,M ,` and `O` (the origin) is `(a)31/10` `(b) 29/10` `(c) 21/10` `(d) 27/10`

A

`31/10`

B

`29/10`

C

`21/10`

D

`27/10`

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS ENGLISH-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. about to only mathematics

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

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  3. The line passing through the extremity A of the major exis and extremi...

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

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  5. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  6. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

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  7. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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  8. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  9. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  10. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  11. Find the equation of an ellipse hose axes lie along the coordinate ...

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  12. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  13. Statement 1: An equation of a common tangent to the parabola y^2=16s...

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  14. An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 ...

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  15. the equation of the circle passing through the foci of the ellip...

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  16. A vertical line passing through the point (h, 0) intersects the ellips...

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  17. The locus of the foot of prependicular drawn from the center of the el...

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  18. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

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  19. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

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  20. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

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