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Given the ellipse 36x^(2)+100y^(2)=3600,...

Given the ellipse `36x^(2)+100y^(2)=3600`, find the equations and the lengths of the focal radii drawn through the point `(8, 18/5)`.

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The correct Answer is:
Equation are `x-8=0, 9x-40y+72=0`; Lengths of the focal radii are `18/5, 82/5`
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ICSE-ELLIPSE-EXERCISE 24
  1. Find the equation of the ellipse with its centre at (3, 1), vertex at ...

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  2. Find the equation of the ellipse whose centre is at (0, 2) and major a...

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  3. Find the equation of the ellipse with focus at (1, -1), directrix x ...

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  4. Find the equation of the ellipse with focus at (0, 0), eccentricity ...

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  5. Find the equation of the ellipse from the following data: axis is coin...

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  6. A point P(x, y) moves so that the product of the slopes of the two lin...

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  7. Find the eccentricity, the coordinates of the foci, and the length of ...

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  8. For the ellipse, 9x^(2)+16y^(2)=576, find the semi-major axis, the sem...

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  9. Find the length of the axes, the co-ordinates of the foci, the eccentr...

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  10. Find the eccentricity of the ellipse, 4x^(2)+9y^(2)-8x-36y+4=0.

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  11. Find the centre of the ellipse, (x^(2)-ax)/a^(2)+(y^(2)-by)/b^(2)=0.

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  12. Find the distance between a focus and an extremity of the minor axis o...

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  13. Given the ellipse 36x^(2)+100y^(2)=3600, find the equations and the le...

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  14. The focal distance of an end of the minor axis of the ellipse is k and...

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  15. Find the eccentricity of the ellipse whose latus rectum is 4 and dista...

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  16. The directrix of a conic section is the line 3x+4y=1 and the focus S i...

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  17. Find the equation to the conic section whose focus is (1, -1), eccentr...

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  18. Find the equation of the ellipse whose foci are (-1, 5) and (5, 5) and...

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  19. Find the ellipse if its foci are (pm2, 0) and the length of the latus ...

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  20. Find the eccentricity of the ellipse of minor axis is 2b, if the line ...

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