Home
Class 11
MATHS
The distance between the directrices of ...

The distance between the directrices of the hyperbola `x=8s e ctheta,\ y=8\ t a ntheta,` `8sqrt(2)` b. `16sqrt(2)` c. `4sqrt(2)` d. `6sqrt(2)`

A

`8sqrt(2)`

B

`16sqrt(2)`

C

`4sqrt(2)`

D

`6sqrt(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|56 Videos

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • INEQUALITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise EXERCISE SECTION-II (Assertion-Reason )|1 Videos

Similar Questions

Explore conceptually related problems

The distance between the directrices of the hyperbola x=8s e ctheta,\ y=8\ t a ntheta, a. 8sqrt(2) b. 16sqrt(2) c. 4sqrt(2) d. 6sqrt(2)

Write the distance between the directrices of the hyperbola x=8s e ctheta,\ y=8t a nthetadot

If the distance between the foci and the distance between the two directricies of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 are in the ratio 3:2, then b : a is (a) 1:sqrt(2) (b) sqrt(3):sqrt(2) (c) 1:2 (d) 2:1

If the distance between the foci and the distance between the two directricies of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 are in the ratio 3:2, then b : a is (a) 1:sqrt(2) (b) sqrt(3):sqrt(2) (c) 1:2 (d) 2:1

The eccentricity of the hyperbola x=a/2(t+1/t), y=a/2(t-1/t) is a. sqrt(2) . b. sqrt(3) c. 2sqrt(3) d. 3sqrt(2)

The eccentricity of the hyperbola x^2-4y^2=1 is a. (sqrt(3))/2 b. (sqrt(5))/2 c. 2/(sqrt(3)) d. 2/(sqrt(5))

In an ellipse the distance between the foci is 8 and the distance between the directrices is 25. The length of major axis is : (A) 5sqrt(2) (B) 10sqrt(2) (C) 20sqrt(2) (D) none of these

The distance between directrix of the ellipse (4x-8)^(2)+16y^(2)=(x+sqrt(3)y+10)^(2) is

Consider the parabola whose focus is at (0,0) and tangent at vertex is x-y+1=0 The length of latus rectum is (a) 4sqrt(2) (b) 2sqrt(2) (c) 8sqrt(2) (d) 3sqrt(2)

Distance between the lines represented by 9x^2-6x y+y^2+18 x-6y+8=0 , is 1/(sqrt(10)) 2. 2/(sqrt(10)) 3. 4/(sqrt(10)) 4. sqrt(10) 5. 2/(sqrt(5))

OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Chapter Test
  1. If the tangent at (h, k) on b^2x^2-a^2y^2=a^2b^2 cuts the auxiliary ci...

    Text Solution

    |

  2. If the chords of contact of tangents drawn from P to the hyperbola x^(...

    Text Solution

    |

  3. The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

    Text Solution

    |

  4. The mid-point of the chord intercepted by the hyperbola 9x^(2)-16y^(2)...

    Text Solution

    |

  5. Locus of P such that the chord of contact of P with respect to y^2=4ax...

    Text Solution

    |

  6. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

    Text Solution

    |

  7. If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2), then

    Text Solution

    |

  8. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

    Text Solution

    |

  9. The product of lengths of perpendicular from any point on the hyperbol...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the area of the triangle formed by any tangent to the hyperbola (...

    Text Solution

    |

  12. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^2...

    Text Solution

    |

  13. The distance between the directrices of the hyperbola x=8s e ctheta,\ ...

    Text Solution

    |

  14. The straight line x+y=sqrt(2)p will touch the hyperbola 4x^(2)-9y^(2)=...

    Text Solution

    |

  15. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  16. .Find the product of lengths of the perpendiculars from any point on t...

    Text Solution

    |

  17. The angle between the asymptotes of the hyperbola 27x^(2)-9y^(2)=24, i...

    Text Solution

    |

  18. The equation of the chord of contact of tangents from (1,2) to the hyp...

    Text Solution

    |

  19. Equation of the hyperbola whose vertices are (+-3,0) and foci at (+-5,...

    Text Solution

    |

  20. The length of the semi-transverse axis of the rectangular hyperbola xy...

    Text Solution

    |