Home
Class 11
MATHS
If 5x^(2)+lambday^(2)=20 represents a re...

If `5x^(2)+lambday^(2)=20` represents a rectangular hyperbola, then `lambda` equals

A

`5`

B

`4`

C

`-5`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|4 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

If (lambda-2)x^(2)+4y^(2)=4 represents a rectangular hyperbola then lambda=

If the equation 4x^(2) + ky^(2) = 18 represents a rectangular hyperbola, then k =

The equation (x^(2))/(9-lambda)+(y^(2))/(4-lambda) =1 represents a hyperbola when a lt lambda lt b then (b-a)=

Show that 3x^(2) - 3y^(2) - 18x + 12y + 2 = 0 represents a rectangular hyperbola. Find its centre foci and eccentricity.

If 2(x^(2)+y^(2))+4 lambda x + lambda^(2)=0 represents a circle of meaningful radius, then the range of real values of lambda , is

If the equation (10x-5)^(2)+(10y -4)^(2)=lambda^(2) (3x+4y-1)^(2) represents a hyperbola then

If xy=lambda^(2)-9 be a rectangular hyperbola whose branches lie only in the second and fourth quadrant, then

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

If the equation (4 lambda - 3) x^(2) + lambda y ^(2) + 6x - 2y + 2 = 0 represents a circle, then its centre is

If 3x^(2) - 5y^(2) - 6x + 20 y - 32 = 0 represents a hyperbola, then the co-ordinates of foci are

OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
  1. The eccentricity of a rectangular hyperbola, is

    Text Solution

    |

  2. IF t is a parameter, then x = a(t + (1)/(t)) and y = b(t - (1)/(t)) re...

    Text Solution

    |

  3. If 5x^(2)+lambday^(2)=20 represents a rectangular hyperbola, then lamb...

    Text Solution

    |

  4. The eccentricity of the hyperbola 3x^(2)-4y^(2)=-12 is

    Text Solution

    |

  5. The locus of the point of intersection of the straight lines (x)/(a)+(...

    Text Solution

    |

  6. The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 repersents a hyperbola if

    Text Solution

    |

  7. The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 repersents a rectangular h...

    Text Solution

    |

  8. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  9. Find the value of m, for which the line y=mx + 25sqrt3/3 is a normal t...

    Text Solution

    |

  10. The value of m for which the line y=mx+2 becomes a tangent to the hype...

    Text Solution

    |

  11. The equation (x^2)/(12-lambda)+(y^2)/(B-lambda)=1 represents

    Text Solution

    |

  12. If the curves (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 (agtb) and x^(2)-y(2)=...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. The equation of the tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2...

    Text Solution

    |

  15. The diameter of 16x^(2)-9y^(2)=144 which is conjugate to x=2y is

    Text Solution

    |

  16. The tangents from a point (2sqrt(2),1) to the hyperbola 16x^(2)-25y^(2...

    Text Solution

    |

  17. If the line y=3x+lambda touches the hyperbola 9x^2-5y^2=45, then the v...

    Text Solution

    |

  18. Find the equations to the common tangents to the two hyperbolas (x^2)/...

    Text Solution

    |

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

    Text Solution

    |

  20. If ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and hyperbola (x^(2))/(144)-...

    Text Solution

    |