Home
Class 11
MATHS
Prove that the equations x = 6(cosec t +...

Prove that the equations x = 6`(cosec t + sin t ) and y = 15(cosec t - sin t )` where t is a variable parameter, represent a hyperbola.

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|1 Videos

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|37 Videos

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUESTIONS|20 Videos

  • DIAGRAMMATIC REPRESENTATION OF DATA

    CHHAYA PUBLICATION|Exercise EXERCISE (Very short Answer Type Question)|7 Videos

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

x = e^(-t) (a cos t + b sin t )

Show that equations x = 5 * (1 - t^(2))/(1 + t^(2)), y = 6 * (t)/(1 + t^(2) ) where t is a variable parameter, define an ellipse . Find its eccentricity .

Find dy/dx , when x=acos t + at, y = asin t -at , where t is the parameter

Find the equation to the locus represented by x=(2+t+1)/(3t-2), y=(t-1)/(t+1) wher t is variable parameter.

If x=a (cos t + t sin t) and y=a ( sin t- t cos t) , find (d^(2)y)/(dx^(2))

If x = 3 cos t - 2 cos^3 t,y = 3 sin t- 2 sin^3 t, then dy/dx is

The equation y = a (sin kx cos wt- cos kx sin omega t) represent.

Locus of centroid of the triangle whose vertices are (a cos t , a sin t) , ( b sin t, -b cos t ) and(1,0), where t is a parameter, is-

If x=a (cos t +t sin t)" and "y= a (sin t -t cos t) , find (d^(2)y)/(dx^(2)) .

If x=sin t and y=cos p t , then which of the following is true ?

CHHAYA PUBLICATION-HYPERBOLA-VERY SHOT ANSWER TYPE QUESTIONS
  1. Explain what geometrical diagrams are represented by the equatio (x^(2...

    Text Solution

    |

  2. Show that the eccentricity of any rectagular hyperbola is sqrt(2).

    Text Solution

    |

  3. Find the eccentricity, coordinates of the foci and the equations of th...

    Text Solution

    |

  4. Show that the eccentricities of the two hyperbolas(x^(2))/(16) - (y^(2...

    Text Solution

    |

  5. Find the coordinates of the foci of the hyperboala x^(2) - y^(2) + 1 =...

    Text Solution

    |

  6. Find the eccentricity, and the length of latus rectum of the hyperbola...

    Text Solution

    |

  7. Find the length of latus rectum and the equations of the directrices o...

    Text Solution

    |

  8. What type of conic is represented by the equation x^(2) - y^(2) = 4? W...

    Text Solution

    |

  9. If the length of conjugate axis and the length of latus rectum of a hy...

    Text Solution

    |

  10. If the length of latus rectum of a rectangular hyperbola is 6 unit, fi...

    Text Solution

    |

  11. If the latus rectum and the transverse axis of a hyperbola are equal, ...

    Text Solution

    |

  12. Find the position of the following points with respect to the hyperbol...

    Text Solution

    |

  13. Find the position of the point (7,2) with respect to the hyperbola 9x^...

    Text Solution

    |

  14. Show that the locus of the point of intersection of the lines (x)/(a)-...

    Text Solution

    |

  15. Find the parametric coordinates of the point ((1)/(sqrt(3)),(1)/(sqrt(...

    Text Solution

    |

  16. Prove that the equations x = 6(cosec t + sin t ) and y = 15(cosec t - ...

    Text Solution

    |