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

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

A

An ellipse

B

A parabola

C

A hyperbola

D

A circle

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

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

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

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

The equation x =1/2 (t+ (1)/(t)), y = 1/2 (t - 1/t), t ne 0 represents

x = t + (1)/(t), y = t - 1/t

The parametre equations x=(2a(1-t^(2)))/(1+t^(2)) and y=(4at)/(1+t^(2)) represents a circle whose radius is

If t is a parameter and x = t + 1/t , y = t - 1/t , " then " (d^2 y)/(dx^2) =

If x=a(t+(1)/(t)) and y=a(t-(1)/(t)), prove that (dy)/(dx)=(x)/(y)

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

If x = e^(t) sin t and y = e^(t) cos t, t is a parameter , then the value of (d^(2) x)/( dy^(2)) + (d^(2) y)/(dx^(2)) at t = 0 , is :

Which of the following equations in parametric form can represent a hyperbolic profile, where t is a parameter: (A)x=(a)/(2)(t+(1)/(t))&y=(b)/(2)(t-(1)/(t))(B)t(x)/(a)-(y)/(b)+t=0&(x)/(a)+t(y)/(b)-1=0(C)x=e^(t)+e^(-t)&y=e^(t)-e^(-t)(D)x^(2)-6=2cos t&y^(2)+2=4cos^((t)/(2))

AAKASH INSTITUTE-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, y = t^2 - t + 1 ...

    Text Solution

    |

  3. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

    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. The equation of the hyperbola, whose foci are (6, 4) and (-4, 4) and e...

    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. The locus a point P(alpha,beta) moving under the condition that the li...

    Text Solution

    |

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

    Text Solution

    |

  12. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

    Text Solution

    |

  13. An ellipse has eccentricity 1/2 and one focus at the point P(1/2,1)....

    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. A common tangent to 9x^(2) - 16y^(2) = 144 and x^(2) + y^(2) = 9 is

    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

    |