Home
Class 12
MATHS
If t is a parameter, then x=a(t+(1)/(t))...

If `t` is a parameter, then `x=a(t+(1)/(t))`, `y=b(t-(1)/(t))` represents

A

an ellipse

B

a circle

C

a pair of lines

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos
  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

If x=a(t-(1)/(t)) , y=a(t+(1)/(t)) then (dy)/(dx) =

The equations x=(1)/(2)(t+(1)/(t)), y=(1)/(2)(t-(1)/(t)), t ne 0 , represent

If x = a(t+1/t), y =a(t-1/t), then dy/dx =

The curve described parametrically by x=t^(2)+t+1,y=t^(2)-t+1 represents

The curve described parametrically by : x=t^2+t+1,y=t^2-t+1 represents

The equations x=(e^t+e^(-t))/2,y=(e^(t)-e^(-t))/2, t inR represent :

If x = (2t)/(1+t^(2)), y = (1-t^(2))/(1+t^(2)) then dy/dx =

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The equation of a hyperbola whose asymtotes are 3xpm5y=0 and vertices ...

    Text Solution

    |

  2. If e1 and e2 are the eccentricities of a hyperbola and its conjugate t...

    Text Solution

    |

  3. The distance between the directrices of the hyperbola x=8sectheta,y=8t...

    Text Solution

    |

  4. If x = 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the...

    Text Solution

    |

  5. If e(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1...

    Text Solution

    |

  6. A hyperbola having the transversal axis of length 2sintheta is confoca...

    Text Solution

    |

  7. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1 , which of the f...

    Text Solution

    |

  8. An ellipse intersects the hyperbola 2 x^(2)-2 y^(2)=1 orthogonally. Th...

    Text Solution

    |

  9. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

    Text Solution

    |

  10. The circle x^(2)+y^(2)-8 x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 i...

    Text Solution

    |

  11. The line 3 x+4 y+5=0 is a tangent to the hyperbola x^(2)-4 y^(2)=5 at

    Text Solution

    |

  12. Let P(6,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  13. If e and e^(prime) be eccentricity of two conics S=0 and S^(prime)=0 a...

    Text Solution

    |

  14. If the line y=2 x+lambda be a tangent to the hyperbola 36 x^(2)-25 y^(...

    Text Solution

    |

  15. The eccentricity of the hyperbola can never be equal to

    Text Solution

    |

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

    Text Solution

    |

  17. The value for m for which the line y=m x+(25)/(sqrt(3)) is a normal to...

    Text Solution

    |

  18. The value of m for which the line y=m x+2 becomes a tangent to the hyp...

    Text Solution

    |

  19. If t is a parameter, then x=a(t+(1)/(t)), y=b(t-(1)/(t)) represents

    Text Solution

    |

  20. The product of the lengths of perpendiculars drawn from any point on t...

    Text Solution

    |