Home
Class 11
MATHS
The foci of the hyperbola 2x^2-3y^2=5 ar...

The foci of the hyperbola `2x^2-3y^2=5` are a.`(+-5sqrt(6),0)` b. `(+-5//6,0)` c. `(+-sqrt(5)//6,0)` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|22 Videos

  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|113 Videos

Similar Questions

Explore conceptually related problems

The foci of the hyperbola 9x^2-16 y^2=144 are a. (+-4,0) b. (0,+-4) c. (+-5,0) d. (0,+-5)

The length of the straight line x-3y=1 intercepted by the hyperbola x^2-4y^2=1 is a. 6/(sqrt(5)) b. 3sqrt(2/5) c. 6sqrt(2/5) d. none of these

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))

The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

If the vertices of a triangle are (sqrt(5,)0) , ( sqrt(3),sqrt(2)) , and (2,1) , then the orthocentre of the triangle is (a) (sqrt(5),0) (b) (0,0) (sqrt(5)+sqrt(3)+2,sqrt(2)+1) (d) none of these

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6

(sqrt(-2))(sqrt(-3)) is equal to A. sqrt(6) B. -sqrt(6) C. isqrt(6) D. none of these

The latus rectum of the conic 3x^2+4y^2-6x+8y-5=0 is a. 3 b. (sqrt(3))/2 c. 2/(sqrt(3)) d. none of these

P is a point on the line y+2x=1, and Q and R are two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

RD SHARMA ENGLISH-HYPERBOLA-All Questions
  1. Equation of the hyperbola whose vertices are (+-3,0) and foci at (+-5,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The equation of the conic with focus at (1,-1) directrix along x-y+1=0...

    Text Solution

    |

  5. The eccentricity of the conic 9x^2-16 y^2=144 is a.5/4 b. 4/3 c. 4/5 d...

    Text Solution

    |

  6. A point moves in a plane so that its distance PA and PB from who fixed...

    Text Solution

    |

  7. The eccentricity of the hyperbola whose latus rectum is half of its ...

    Text Solution

    |

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

    Text Solution

    |

  9. The difference of the focal distances of anypoint on the hyperbola is ...

    Text Solution

    |

  10. The foci of the hyperbola 9x^2-16 y^2=144 are a.(+-4,0) b. (0,+-4) c. ...

    Text Solution

    |

  11. The distance between the foci of a hyperbola is 16 and its eccentricit...

    Text Solution

    |

  12. If e1 is the eccentricity of the conic 9x^2+4y^2=36\ a n d\ e2 is the ...

    Text Solution

    |

  13. If the eccentricity of the hyperbola x^2-y^2sec^2alpha=5\ i s\ sqrt(3)...

    Text Solution

    |

  14. The equation of the hyperbola whose foci are (6,4) and (-4,4) and ec...

    Text Solution

    |

  15. The length of the straight line x-3y=1 intercepted by the hyperbola x^...

    Text Solution

    |

  16. The latus rectum of the hyperbola 16 x^2-9y^2=144 is a.16//3 b. 32//3 ...

    Text Solution

    |

  17. The foci of the hyperbola 2x^2-3y^2=5 are a.(+-5sqrt(6),0) b. (+-5//6,...

    Text Solution

    |

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

    Text Solution

    |

  19. The equation of the hyperbola whose centre is (6,2) one focus is (4,2)...

    Text Solution

    |

  20. The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(3...

    Text Solution

    |