Home
Class 11
MATHS
The equation (x^2)/(12-lambda)+(y^2)/(B-...

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

A

a hyperbola if `k lt 8`

B

an ellipse if `k gt 8`

C

a hyperbola if `8 lt k lt 12`

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

The equation (x^2)/(12-lambda)+(y^2)/(8-lambda)=1 represents

The equation (x^2)/(2-lambda)+(y^2)/(lambda-5)+1=0 represents an elipse, if

The equation (x^(2))/(10-lambda)+(y^(2))/(6-lambda)=1 represents

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

Consider the equation (x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1, where a and b are specified constants and lambda is an arbitrary parameter. Find a differential equation satisfied by it.

If the equation (x^(2))/( 3 - lambda) + (y^(2))/(lambda - 8) + 1 = 0 represents an ellipse, then (i) lambda lt 8 (ii) lambda gt 3 (iii) 3 lt lambda lt 8 (iv) lambda lt 3" or "lambda gt 8

If the equation x^(2)+y^(2)+6x-2y+(lambda^(2)+3lambda+12)=0 represent a circle. Then

Suppose the circle having equation x^2+y^2=3 intersects the rectangular hyperbola x y=1 at points A ,B ,C ,a n dDdot The equation x^2+y^2-3+lambda(x y-1)=0,lambda in R , represents. a pair of lines through the origin for lambda=-3 an ellipse through A ,B ,C ,a n dD for lambda=-3 a parabola through A , B , C ,a n dD for lambda=-3 a circle for any lambda in R

If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two parallel straight lines, then prove that lambda=mu .

If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two parallel straight lines, then prove that lambda=mu .

OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
  1. Find the value of m, for which the line y=mx + 25sqrt3/3 is a normal t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The curve represented by x=acos h theta, y=bsin h theta, is

    Text Solution

    |

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

    Text Solution

    |

  15. If the eccentricity of a hyperbola is sqrt(3), the eccentricity of its...

    Text Solution

    |

  16. Area of the triangle formed by the lines x-y=0,x+y= 0 and any tangant ...

    Text Solution

    |

  17. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  18. If a normal of slope m to the parabola y^2 = 4 a x touches the hyperbo...

    Text Solution

    |

  19. Equation of common tangent to the parabola y^(2)=8x and hyperbola x^(2...

    Text Solution

    |

  20. The circle drawn on the line segment joining the foci of the hyperbola...

    Text Solution

    |