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The eccentricity of the ellipse (x-1)^(2...

The eccentricity of the ellipse `(x-1)^(2)/(16)+(y-2)^(2)/(9)=1` is

A

`3/4`

B

`sqrt(7)/(3)`

C

`sqrt(7)/(4)`

D

`sqrt(7)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. The equation of one of the latusrectum of (x-3)^(2)/(5)+(y-5)^(2)/(9)...

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  2. The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

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  3. The eccentricity of the ellipse (x-1)^(2)/(16)+(y-2)^(2)/(9)=1 is

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  4. The eccentricity of the ellipse 9x^(2)+25y^(2)-18x-100y+20=0 is

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  5. If a line (x)/(8)+(y)/(5)=1 meets the ellipse on x - axis and the lin...

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  6. If the length of the major axis is n times the minor axis of the ellip...

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  7. The distance between the foci of an ellipse is equal to half of its mi...

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  8. If the minor axis of an ellipse subtends an angle 60^(@) at each focu...

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  9. The eccentricity of an ellipse i s sqrt(3)/(2) its length of latus r...

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  10. If e(1) and e(2) are the eccentricites of (x^(2))/(a^(2))+(y^(2))/(b...

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  11. The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the ...

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  12. If x -y+ k = 0 is a tan gen t to the ellip se 9x^(2)+16y^(2)=144 then ...

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  13. The values that m can take so that the straight line y=4x+m touches th...

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  14. The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an a...

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  15. The equations of the tangents to the ellipse 4x^(2)+3y^(2)=5 which are...

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  16. The point of contact 8x-9y+5 = 0 with the ellipse 4x^(2)+9y^(2)=1 is

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  17. The number of tangents to (x^(2))/(9)+(y^(2))/(4)=1 through (3,2) is

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  18. The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2...

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  19. The locus of the point of intersection of the perpendicular tangents t...

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  20. Angle between the tangents drawn from the point (5,4) to the ellipse ...

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