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A straight rod of given length slides be...

A straight rod of given length slides between two fixed bars which include an angle of `90^0` . Show that the locus of a point on the rod which divides it in a given ratio is an ellipse. If this ratio be 1/2, show that the eccentricity of the ellipse is `sqrt(3)//2.`

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RD SHARMA ENGLISH-ELLIPSE-All Questions
  1. Find the equation of the ellipse whose eccentricity is 1/2, the focu...

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  2. Find the equation of the ellipse whose focus is (1,0), the directrix ...

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  3. A straight rod of given length slides between two fixed bars which i...

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  4. A point moves so that the sum of the squares of its distances from ...

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  5. Find the equation of the set of all points whose distances from (0,...

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  6. Find the equation of the ellipse whose axes are along the coordinat...

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  7. If the latusrectum of an ellipse is equal to half of minor axis, fi...

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  8. Find the equation of the ellipse whose axes are parallel to the coo...

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  9. Find the equation of the ellipse with foci at (+-5,0) and x=36/5 as o...

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  10. Find the equation of the ellipse whose centre is at the origin, foc...

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  11. Find the equation of the set of all points the sum of whose distanc...

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  12. A rod A B of length 15c m rests in between two coordinate axes in su...

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  13. Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose...

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  14. The weight of an object on the surface of the Earth is 40 N. Its weigh...

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  15. An arc is in the form of a semi-ellipse. It is 8m wide and 2m high a...

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  16. Find the equation of the ellipse whose axes are along the coordinate a...

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  17. Find the equation of the ellipse whose axes are along the coordinate ...

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  18. Find the equation of the ellipse (referred to its axes as the axes ...

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  19. A man running a racecourse notes that the sum of the distances from...

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  20. Find the equation of the ellipse whose focus is (1,-2) the directrix 3...

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