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A point moves such that the sum of its d...

A point moves such that the sum of its distance from two fixed points (ae, 0) and (-ae, 0) is always, 2a. Prove that the equation of the locus is `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`, where `b^(2)=a^(2)(1-e^(2))`

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. A point moves such that the sum of its distance from two fixed points ...

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  2. What is the slope of the line whose inclination is : 0^@ ?

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  3. What is the slope of the line whose inclination is : 60^@ ?

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  4. What is the slope of the line whose inclination is : 45^@ ?

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  5. What is the slope of the line whose inclination is : 90^@ ?

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  6. What is the slope of the line whose inclination is : 120^@ ?

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  7. What is the slope of the line whose inclination is : 150^@ ?

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  8. Find the slope of the line, which makes an angle of 30^@ with the posi...

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  9. Find the inclination of the line whose slope is : 1.

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  10. Find the inclination of the line whose slope is : 1/4 .

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  11. Find the inclination of the line whose slope is : 3.

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  12. Find the inclination of the line whose slope is : 0.

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  13. Find the angle between x-axis and the line joining the points (3,-1) a...

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  14. Find the slope of the line through the points : (1, 2), (4, 2).

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  15. Find the slope of the line through the points : (0, - 4), (- 6, 2).

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  16. Find the slope of the line through the points (4,-6)(-2,-5)

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  17. Find the slope of the line through the points : (4, 6), (2,12)

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  18. Find the slope of the line through the points : (3, -2), (3, 4).

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  19. Find the slope of a line, whch passes through the origin and the mid-p...

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  20. What acute angle does a line of slope (-2)/3 make with a vertical line...

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  21. Show that the line joining the points (2,-3)and (-5,1) is parallel to ...

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