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If the latus rectum of a hyperola forms ...

If the latus rectum of a hyperola forms an equilateral triangle with the centre of the hyperbola, then its eccentricity is

A

`(sqrt5+1)/(2)`

B

`(sqrt11+1)/(2)`

C

`(sqrt13+1)/(2sqrt3)`

D

`(sqrt13*1)/(2sqrt3)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-HYPERBOLA-Exercise -I
  1. If the latus rectum through one focum subtends a right angle at the fa...

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  2. If the lactus recturm of a hyperbola through one focus subtends 60^@ a...

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

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  4. The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

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  5. Equations of tangents to the hyperbola 4x^(2)-3y^(2)=24 which makes an...

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  6. The equation of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whic...

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  7. The point of contact of 9x+8y-11=0 to the hyperbola 3x^(2)-4y^(2)=11 i...

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  8. The nummber of tangents to x^(2)//9-y^(2)//4=1 throught (6,2) is

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  9. For all real values of m' the straight line y=mx + sqrt(9m^(2)-4) is a...

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  10. The condition that the line x=my+c may be a tangent of x^(2)/a^(2)-y^(...

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  11. Product of perpendiculars from the foci of x^(2)/4-y^(2)/9=1" to "y=mx...

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  12. If m1, m2, are slopes of the tangens to the hyperbola x^(2)//25-y^(2)/...

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  13. Number of points from where perpendicular tangents can be drawn to the...

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  14. The equation of the auxiliary circle of x^(2)/(16)-y^(2)/(25)=1 is

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  15. Locus of feet of perpendicular from (5,0) to the tangents of (x^(2))/(...

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  16. Find the equation of the normal to the hyperbola x^(2)-3y^(2)=144 at t...

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  17. If S and T are foci of x^(2)/(16)-y^(2)/(9)=1. If P is a point on the...

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  18. Equation of the tangent to the hyperbola 4x^(2)-9y^(2)=1 with eccentri...

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  19. Equation of normal to 9x^(2)-25y^(2)=225 at theta=pi//4 is

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  20. The equation to the pair of asymptotes of the hyperbola x^(2)/9-y^(2)/...

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