Home
Class 12
MATHS
The distance between the directrices of ...

The distance between the directrices of the hyperbola `x=8sectheta,y=8tantheta`, is

A

`8sqrt2`

B

`16sqrt2`

C

`4sqrt2`

D

`6sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2002

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS (MCQ.s)|50 Videos
  • KARNATAKA CET 2005

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos

Similar Questions

Explore conceptually related problems

The distance between the foci of the hyperbola x=8 sec theta, y=6 tan theta is

The distance between the directrices of the hyperbola x^(2)-y^(2)=4 is

Distance between the foci of the hyperbola x^(2)-y^(2)=7, is

If the distance between the foci and the distance between the directrices of the hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 are in the ratio 3 : 2 then a : b is

If the distance between the directrices is thrice the distance between the foci, then find eccentricity of the ellipse.

The angle between the asymptotes of the hyperbola 3 x^(2)-y^(2)=3 is

The distance between the directrices fo an ellipse is four times the distance between their foci. Then the ecentricity fo the ellipse is

Find the eccentricity of the ellipse (a lt b) if the distance between the directrices is 5 and distance between the foci = 4.

Find the eccentricity of the hyperbola : x^2-3y^2-2x=8.

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2003-MATHEMATICS
  1. Lim(nto oo)(3^(n)+4^(n))^((1)/(n))=

    Text Solution

    |

  2. The locus of a point which moves such that the difference of its dista...

    Text Solution

    |

  3. The distance between the directrices of the hyperbola x=8sectheta,y=8t...

    Text Solution

    |

  4. If cos^(-1)x+cosy^(-1)+cos^(-1)x=3pi then xy+yz+zx=

    Text Solution

    |

  5. sin((1)/(2)"cos"^(-1)(4)/(5))=

    Text Solution

    |

  6. The general solution of the equation tan2thetatantheta=1 for n in Z i...

    Text Solution

    |

  7. The angle between the lines in x^(2)-xy-6y^(2)-7x+31y-18=0 is

    Text Solution

    |

  8. If p is the length of the perpendicular from the origin on the line wh...

    Text Solution

    |

  9. The equation of the line bisecting perpendicularly the segment joining...

    Text Solution

    |

  10. If the slope of one of the lines gives by ax^(2)+2hxy+by^(2)=0 is 5 ti...

    Text Solution

    |

  11. The locus of a point which is equidistant from ( a+ b , a-b) and (a-b,...

    Text Solution

    |

  12. Prove that int(0)^(a) f(x) dx = int(0)^(a) f(a - x)dx and hence evalua...

    Text Solution

    |

  13. int(0)^(2pi)(sinx+|sinx|)dx=

    Text Solution

    |

  14. If n in N and I(n) = int (log x)^(n) dx , then I(n) + n I(n - 1) =

    Text Solution

    |

  15. The area included between the parabolas x^(2)=4y and y^(2)=4x is, (in ...

    Text Solution

    |

  16. The differential equation for which sin^(-1)x+sin^(-1)y=C is given by

    Text Solution

    |

  17. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  18. If x=a(theta-sintheta),y=a(1-costheta) then (dy)/(dx)=

    Text Solution

    |

  19. If y=1-x+(x^(2))/(2!)-(x^(3))/(3!)+(x^(4))/(4!)- . . . . then (d^(2)y)...

    Text Solution

    |

  20. The slope of the tangent to the curve x=3t^(2)+1,y=t^(3)-1 at x=1 is

    Text Solution

    |