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Show that for an ellipse the straight li...

Show that for an ellipse the straight line joining the upper end of one latus rectum and the lower end of the other latus rectum passes through the centre of the ellipse .

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CHHAYA PUBLICATION-ELLIPSE-Short Answer Type Questios
  1. Find the equation of the ellipse whose eccentricity is (1)/(2) ...

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  2. Find the equation of the ellipse whose focus is (3, 4) , directr...

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  3. A point moves so that its distance from (0,-3) is (1)/(sqrt(2)) tim...

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  4. Find the equation of the ellipse whose major axis is parallel to x - a...

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  5. Find the equation of the ellipse whose major axis is parallel to x - a...

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  6. Find the equation of the ellipse, for which the foci are (0,1) and (0...

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  7. The eccentricity of an ellipse is (1)/(2) , focus is S (0,0) and the ...

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  8. The lengths of major and minor axes of an ellipse are 8 and 6 and thei...

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  9. Show that the point (2,(2)/(sqrt(5))) lies on the ellipse 4x^(2) +...

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  10. Prove that SP + S'P = 20 for the ellipse (x^(2))/(100) + (y^(2))/(36)...

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  11. If t be a variable parameter, show that the point x = a(1 -t^(2))/(1...

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  12. A point moves on a plane is such a manner that the sum of its istances...

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  13. Find the locus of the point , the ratio of whose distances from the li...

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  14. The lengths of the major and minor axes of an ellipse are 2 a and 2b ...

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  15. Show that for an ellipse the straight line joining the upper end of on...

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  16. Find the equation of the auxiliary circle of the ellipse 16x^(2)+25y^...

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  17. If the eccentric angles of the two points on the ellipse (x^(2))/(a^(2...

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  18. Show that equations x = 5 * (1 - t^(2))/(1 + t^(2)), y = 6 * (t)/(1 +...

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  19. Show tht the locus of the middle points of chords of the ellipse (x^(2...

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  20. If P(x , y) ,F(1) (3,0) , F(2) (-3, 0) " and " 16x^(2) + 25 y^(2) = 40...

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