Home
Class 12
MATHS
The equation x = (e ^(t) + e ^(-t))/(2),...

The equation `x = (e ^(t) + e ^(-t))/(2), y = (e ^(t) -e^(-t))/(2), t in R,` represents

A

an ellipse

B

a parabola

C

a hyperbola

D

a circle

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHMATICS 2011

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|46 Videos

  • GGSIPU MATHMATICS 2013

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|41 Videos

Similar Questions

Explore conceptually related problems

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

Find (dy)/(dx), when x=(e^(t)+e^(-t))/(2) and y=(e^(t)-e^(-t))/(2)

Find the eccentricity of the hyperbola given by equations x=(e^(i+e^(-1)))/(2) and y=(e^(t)-e^(-1))/(3),t in R

Find (dy)/(dx),quad when x=(e^(t)+e^(-t))/(2) and y(e^(t)-e^(-t))/(2)

The locus of point ((e^(t)+e^(-t))/(2),(e^(t)-e^(-t))/(2)) is a hyperbola with eccentricity

A curve in the plane is defined by the parametric equations x=e^(2t)+2e^(-1) and y=e^(2t)+e^(t). An equation for the line tangent to the curve at the point t=ln2 is 5x-6y=7( b) 5x-3y=710x-7y=8 (d) 3x-2y=3

Equation of normal to x= 2e^(t), y= e^(-t) " at " t=0 is

If x = e ^(t ) sin t, y = e ^(t) cos t, then (d ^(2) y )/(dx ^(2)) at t = pi is

Find the differentiation of (e^(2x)+e^(-2x))/(e^(2x)-e^(-2x)) w.r.t. \ x

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHMATICS 2012-MCQs
  1. Equation of the chord of the parabola y^2 = 8x which is bisected at th...

    Text Solution

    |

  2. If x+y+1 = 0 touches the parabola y^(2) = lambda x , then lambda is eq...

    Text Solution

    |

  3. The equation x = (e ^(t) + e ^(-t))/(2), y = (e ^(t) -e^(-t))/(2), t i...

    Text Solution

    |

  4. If e(1) and e(2) are the eccentricities of two conics with e(1)^(2) + ...

    Text Solution

    |

  5. The sum of the distances of any point on the ellipse 3x^(2) + 4y^(2) ...

    Text Solution

    |

  6. In DeltaABC , if a tends to 2c and b tends to 3 c , then cos B tends ...

    Text Solution

    |

  7. If "sin" (pi "cos" theta) = "cos" (pi "sin" theta), then which one fo ...

    Text Solution

    |

  8. sin 12^(@) sin 48^(@) sin 54^(@) is equal to

    Text Solution

    |

  9. If: 3 sin^(-1)((2x)/(1+x^(2))) - 4 cos^(-1)((1-x^(2))/(1+x^(2))) + 2 t...

    Text Solution

    |

  10. The angle of elevation of the sun when the length of the shadow of a p...

    Text Solution

    |

  11. The point of contact of the line x-y+2=0 with the parabola y^(2)-8x = ...

    Text Solution

    |

  12. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

    Text Solution

    |

  13. cos 1^(@) ."" cos 2^(@) ."" cos 3^(@) "…." cos 179 ^(@)=

    Text Solution

    |

  14. If cot (alpha + beta )=0 , then sin(alpha+2beta )=

    Text Solution

    |

  15. The value of 4 sin A cos^(3) A- 4 cos A sin^(3) A is equal to

    Text Solution

    |

  16. If the solutions for theta of Cosptheta + Cosqtheta =0,pgtqgt0 are in...

    Text Solution

    |

  17. The value of k, for which (cos x+ sin x)^(2) +k sin x cos x-1 =0 is...

    Text Solution

    |

  18. If 4 cos^(-1)x + sin^(-1) x = pi , then the value of x is

    Text Solution

    |

  19. A problem in mathematics is given to 3 students whose chances of solvi...

    Text Solution

    |

  20. In a non leap year the probability of getting 53 Sundays or 53 Tuesda...

    Text Solution

    |