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The ratio of the area of triangle inscri...

The ratio of the area of triangle inscribed in ellipse `x^2/a^2+y^2/b^2=1` to that of triangle formed by the corresponding points on the auxiliary circle is 0.5. Then, find the eccentricity of the ellipse. (A) `1/2` (B) `sqrt3/2` (C) `1/sqrt2` (D) `1/sqrt3`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the area of the ellipse ((x^2)/(a^2))+((y^2)/(b^2))=1 is 4pi , then...

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  2. The center of an ellipse is C and P N is any ordinate. Point A ,A ' ar...

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  3. The ratio of the area of triangle inscribed in ellipse x^2/a^2+y^2/b^...

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  4. If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8,...

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  5. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=...

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  6. If Sa n dS ' are two foci of ellipse 16 x^2+25 y^2=400 and P S Q is ...

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  7. Find the equations of the tangents drawn from the point (2, 3) to t...

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  8. Prove that area common to ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its au...

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  9. If the normal at P(2,(3sqrt(3))/2) meets the major axis of ellipse...

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  10. Normal to the ellipse (x^2)/(64)+(y^2)/(49)=1 intersects the major...

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  11. answer any two questions :(iii) if the straight line lx+my=n be a norm...

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  12. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  13. Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the norma...

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  14. If omega is one of the angles between the normals to the ellipse (x^...

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  15. If the normal at any point P on the ellipse x^2/a^2+y^2/b^2=1 meets t...

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  16. P is the point on the ellipse isx^2/16+y^2/9=1 and Q is the correspond...

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  17. If the normal at one end of the latus rectum of the ellipse (x^2)/(...

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  18. If the normals to the ellipse x^2/a^2+y^2/b^2= 1 at the points (x1, y...

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  19. Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

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  20. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

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