Home
Class 11
MATHS
Show that the point (x,y), where : x=a+...

Show that the point (x,y), where : `x=a+r cos alpha, y=b+r sin alpha` lie on a circle for all values of `alpha` .

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Show that the points (x, y), where : x=5 cos theta, y=-3+5 sin theta lie on a circle for all values of theta .

Find the inclination to the x-axis of the lines : x cos alpha+y sin alpha=p .

Find the equation of the circle whose centre is (a cos alpha, a sin alpha) and radius is a.

Locus of the point of intersection of lines x cosalpha + y sin alpha = a and x sin alpha - y cos alpha =b (alpha in R ) is

Find the equation of the following curve : x=a+c cos alpha, y=b+c sin alpha , where 0 le alpha< 2 pi , in cartesian form*. In case the curve is a circle, find its centre and radius.

Find the equations of the following curves in cartesian form. Wherever the curve is a circle, find its centre and radius : x= 7+4 cos alpha, y= -3+4 sin alpha , where 0le alpha <2 pi .

If alpha = 112^(@) 30' , find the value of sin alpha and cos alpha

The product of all values of (cos alpha + isin alpha)^(2//3) is :

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Show that the points (5, 5),(6, 4),(- 2, 4) and (7, 1) all lie on a ci...

    Text Solution

    |

  2. Prove that the points (1,- 6), (5, 2), (7, 0) and (- 1,-4) are concycl...

    Text Solution

    |

  3. Show that the point (x,y), where : x=a+r cos alpha, y=b+r sin alpha l...

    Text Solution

    |

  4. Find the parametric representation of the following circle x^2 + y^2...

    Text Solution

    |

  5. Find the parametric representation of the following circle 3x^2 + 3y...

    Text Solution

    |

  6. Find the parametric representation of the following circle (x-2)^2+(...

    Text Solution

    |

  7. Find the parametric representation of the following circle x^2 + y^2...

    Text Solution

    |

  8. Find the parametric form of the equation of the circle x^(2)+y^(2)+p...

    Text Solution

    |

  9. Find the parametric representation of the following circle x^2 + y^2...

    Text Solution

    |

  10. Find the parametric equation of the circles : 2x^2 + 2y^2-5x-7y-3=0.

    Text Solution

    |

  11. Find the parametric equation of the circles : 3x^2 + 3y^2+4x-6y-4=0.

    Text Solution

    |

  12. Find the equations of the following curves in cartesian form. Wherever...

    Text Solution

    |

  13. Find the equations of the following curves in cartesian form. Wherever...

    Text Solution

    |

  14. Find the equations of the following curves in cartesian form. Wherever...

    Text Solution

    |

  15. Find the equations of the following curves in cartesian form. Wherever...

    Text Solution

    |

  16. Find the equations of the following curves in cartesian form. Wherever...

    Text Solution

    |

  17. Find the equations of the following curves in cartesian form. Wherever...

    Text Solution

    |

  18. Eliminate the parameter ‘t’ from the equations : x=(20t)/(4+t^2), y= (...

    Text Solution

    |

  19. Find the equation of the circle when the end points of a diameter are ...

    Text Solution

    |

  20. Find the equation of the circle when the end points of a diameter are ...

    Text Solution

    |