Home
Class 12
MATHS
The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r...

The equation `(x^2)/(1-r)-(y^2)/(1+r)=1,r >1,` represents an ellipse (b) a hyperbola a circle (d) none of these

A

An ellipse

B

A hyperbola

C

A circle

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C|44 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents (a)an ellipse (b) a hyperbola (c)a circle (d) none of these

The equation x^(2) - 2xy +y^(2) +3x +2 = 0 represents (a) a parabola (b) an ellipse (c) a hyperbola (d) a circle

The number of solution of equation sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2,w h e r en >0,mgeq0, is 3 (b) 1 (c) 2 (d) None of these

x^2/(r^2+r-6)+y^2/(r^2-6r+5)=1 will represent the ellipse if r lies in the interval

A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on the positive x- and y-axis. If this normal touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then a^2+b^2 is equal to 5 (b) 25 (c) 16 (d) none of these

A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on the positive x- and y-axis. If this normal touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then a^2+b^2 is equal to 5 (b) 25 (c) 16 (d) none of these

The solution of dy/dx = (x^2+y^2+1)/(2xy) satisfying y(1)=0 is given by A. a hyperbola B. a circle C. y^2 = (1+x ) -10 D. None

If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 . Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of a. hyperbola is (x^2)/9-(y^2)/(16)=1 b. the equation of hyperbola is (x^2)/9-(y^2)/(25)=1 c. focus of hyperbola is (5, 0) d. focus of hyperbola is (5sqrt(3),0)

If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 . Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of hyperbola is (x^2)/9-(y^2)/(16)=1 b. the equation of hyperbola is (x^2)/9-(y^2)/(25)=1 c. focus of hyperbola is (5, 0) d. focus of hyperbola is (5sqrt(3),0)

If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 . Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of a. hyperbola is (x^2)/9-(y^2)/(16)=1 b. the equation of hyperbola is (x^2)/9-(y^2)/(25)=1 c. focus of hyperbola is (5, 0) d. focus of hyperbola is (5sqrt(3),0)

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. P is any variable point on the ellipse 4x^(2) + 9y^(2) = 36 and F(1), ...

    Text Solution

    |

  2. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. AB is double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 such that Del...

    Text Solution

    |

  5. Find the equation to the hyperbola whose foci, are (6,4) and (-4,4) a...

    Text Solution

    |

  6. The equation of the tangent to the hyperbola 3x^(2) - 4y^(2) = 12, whi...

    Text Solution

    |

  7. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents an ellipse (b)...

    Text Solution

    |

  8. The equation of the hyperbola with centre at (0, 0) and co-ordinate ...

    Text Solution

    |

  9. The equation of the tangent to the hyperbola 3x^(2) - 8y^(2) = 24 and ...

    Text Solution

    |

  10. Find the locus of a point P(alpha, beta) moving under the condition th...

    Text Solution

    |

  11. The locus of the middle points of the chords of hyperbola (x^(2))/(9) ...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  15. If 3x^(2) - 5y^(2) - 6x + 20 y - 32 = 0 represents a hyperbola, then ...

    Text Solution

    |

  16. IF the locus of the point of intersection of two perpendicular tangent...

    Text Solution

    |

  17. If the line y = mx + sqrt(a^(2) m^(2) -b^(2)), m = (1)/(2) touches the...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Area of the triangle formed by any arbitrary tangents of the hyperbola...

    Text Solution

    |

  20. If the normal to the rectangular hyperbola xy = 4 at the point (2t, ...

    Text Solution

    |