Home
Class 11
MATHS
If the equation (a-3)x^2+9y^2=4 represen...

If the equation `(a-3)x^2+9y^2=4` represents the rectangular hyperbola then a = ........... .

Text Solution

Verified by Experts

The correct Answer is:
`-6`
Promotional Banner

Topper's Solved these Questions

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Conic Sections (True /False Statement)|22 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Introduction to Three Dimensional Geometry (Fill in the Blanks)|24 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Straight Lines (True /False Statement)|16 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

Similar Questions

Explore conceptually related problems

In R^(3) equation x^(2)+y^(2)=0 represents ____ .

The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola, then find the value of a.

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

The equation sqrt(x)=2y , represents that graph between x and y is a :-

Eccentricity of hyperbola 16y^2-9x^2=144 is ...........

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are

Prove that the equation m (x^3-3xy^2)+y^3-3x^2y=0 represents three straight lines equally inclined to each other.

Curve having eccentricity sqrt2 is a rectangular hyperbola.

Equation ax^3-9x^2y-xy^2+4y^3=0 represents three straight lines. If the two of the lines are perpendicular , then a is equal to

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Conic Sections (Fill in the blanks )
  1. Radius of circle which touches X - axis at (3,0) and cuts a chord at l...

    Text Solution

    |

  2. Minimum distance of the line 3x +4y - 50 =0 from the point lies on cir...

    Text Solution

    |

  3. length of latus rectum of parabola y^2=4ax which passes from (3,2) is...

    Text Solution

    |

  4. L and L' are end points of latus rectum of parabola y^2 = 4ax and M' a...

    Text Solution

    |

  5. Vertex of parabola (y-3)^2=2(x+1) is ..........

    Text Solution

    |

  6. (5,2) and (3,4) are end points of latus rectums then its focii is .......

    Text Solution

    |

  7. Eccentricity of ellipse is ..........if length of latus rectum is half...

    Text Solution

    |

  8. Eccentricity e of ellipse is .............if length of minor axis is d...

    Text Solution

    |

  9. Eccentricity of ellipse 9x^2+25y^2=225 is ........

    Text Solution

    |

  10. Length of latus rectum of ellipse 4x^2+9y^2=1 is ............ .

    Text Solution

    |

  11. Length of major axis of ellipse 25x^2+9y^2=1 is ........ .

    Text Solution

    |

  12. Focii of hyperbola 9x^2-16y^2=144 is .........

    Text Solution

    |

  13. Length of latus rectum of hyperbola 16x^2-9y^2 = 144 is ......... .

    Text Solution

    |

  14. Eccentricity of hyperbola 16y^2-9x^2=144 is ...........

    Text Solution

    |

  15. Eccentricity of x^2-4y^2=1 is ...........

    Text Solution

    |

  16. Length of latus rectum of ellipse 5x^2+9y^2=25 is ......... .

    Text Solution

    |

  17. ........... is the eccentricity of ellipse if distance between focii i...

    Text Solution

    |

  18. If the ratio of major and minor axis of ellipse is 5:3 then eccentrici...

    Text Solution

    |

  19. Length of the conjugate axis of 12x^2-3y^(2)=-36 is .........

    Text Solution

    |

  20. If the equation (a-3)x^2+9y^2=4 represents the rectangular hyperbola t...

    Text Solution

    |