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The length of the latus rectum of an ell...

The length of the latus rectum of an ellipse is 4. The focus and its corresponding directrix are (1, -2 ) and 3x + 4y - 15 = 0 then the eccentricity of the ellipse is

A

A) `1/2`

B

B) `2/3`

C

C) `1/4`

D

D) `3/4`

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AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. If the m inor axis of an ellipse form s an equilateral triangle with o...

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  2. Let S, S^(') are the focii and BB^(') be the minor axis of an ellipse....

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  3. The length of the latus rectum of an ellipse is 4. The focus and its c...

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  4. Let P be a point on an ellipse whose parameter is (pi)/(3) . The sum a...

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  5. The latus rectum LL^(') subtends a right angle at the centre of the el...

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  6. If the latus rectum of a hyperola forms an equilateral triangle with t...

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  7. Area of the quadrilateral formed by the extremities of major axis and ...

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  8. If x+ky-5=0 is a tangent to the ellipse 4x^(2)+9y^(2)=20 then k =

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  9. The equations of the tangents to the ellipse 3x^(2)+4y^(2)=12 which ar...

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  10. The point of contact 4x-5y+25=0 with the ellipse 9x^(2)+25y^(2)=225 is

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  11. The number of tangents to (x^(2))/(25)+(y^(2))/(9)=1 through (1,1) is

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  12. The product of the slopes of the tangents to the ellipse 2x^(2)+3y^(2)...

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  13. The radius of the director circle of 16x^(2)+9y^(2)=144 is

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  14. The quadratic equation whose one root is (3+sqrt(5))/(2-sqrt(5)) is

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  15. The equation to the auxiliary circle of (x^(2))/(12)+(y^(2))/(18)=1 is

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  16. The equation of the normal to the ellipse x^(2)/4+y^(2)/1=1 at (2, -1)...

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  17. The equations of the tangents drawn from (2, 3) to the ellipse 9x^(2) ...

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  18. If a gt b and e is the eccentricity of the ellipse then the equation ...

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  19. If the normal at one end of latusrectum of an ellipse (x^(2))/(a^(2))...

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  20. The equation to the locus of point of intersection of lines y-mx=sqr...

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