Home
Class 12
MATHS
The locus of the point of intersection o...

The locus of the point of intersection of the tangents to the circle `x=r cos theta, y=r sin theta` at points whose parametric angles differ by `pi//3` is

A

`x^(2)+y^(2)=r^(2)`

B

`x^(2)+y^(2)=2r^(2)`

C

`3(x^(2)+y^(2))=r^(2)`

D

`3(x^(2)+y^(2))=4r^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1D(Angle Between Circles)|49 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2(Special Type Questions)|5 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B(Circle-Line)|142 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

The loucs of the point of intersection of the tangents to the circle x=4 cos theta, y=4 sin theta at the points whose parametric angles differ by (pi)/3 is

Locus of the point of intersection of the tangents at the points with eccentric angle theta and (pi)/(2)+theta is

The radius of the circle r = 12 cos theta + 5 sin theta is

Locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=10 is

The locus of the point of intersection of two perpendicular tangents to the circle x^(2)+y^(2)=a^(2)is

The locus of the point (a cos h theta, b sin h theta ) is

The locus of the point of intersection of the lines x sin theta+(1-cos theta)y=a sin theta and x sin theta -(1+cos theta )y+a sin theta =0 is

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
  1. Find the pair of tangents drawn from (3,2) to the circle x^(2) + y^...

    Text Solution

    |

  2. The equation of the tangents drawn from the origin to the circle x^(2)...

    Text Solution

    |

  3. The angle between the tangents drawn from (0,0) to the circle x^(2)+y^...

    Text Solution

    |

  4. If theta is the angle between the tangents from (-1,0) to the circle x...

    Text Solution

    |

  5. From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to t...

    Text Solution

    |

  6. The condition that the pair of tangents drawn from the origin to the c...

    Text Solution

    |

  7. The condition that the pair of tangents drawn from the origin to the c...

    Text Solution

    |

  8. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  9. From any point on the circle x^(2)+y^(2)+2gx+2fy+c=0 tangents are draw...

    Text Solution

    |

  10. The tangents drawn from the origin x^(2)+y^(2)-2rx-2hy+h^(2)=0 are per...

    Text Solution

    |

  11. The parametric equation of the circle (x-3)^(2)+(y-2)^(2)=100 are

    Text Solution

    |

  12. The coordinate of the point on the circle (x-1)^(2)+(y+2)^(2)=9 having...

    Text Solution

    |

  13. The parametric equation of the circle x^(2)+y^(2)+8x-6y=0 are

    Text Solution

    |

  14. The equation of the circle passing through the point (-1+3 cos theta, ...

    Text Solution

    |

  15. Show that the locus of the point of inter section of the lines x cos t...

    Text Solution

    |

  16. If x=-2+3 cos theta, y=1+3 sin theta then the locus of the point (x,y)...

    Text Solution

    |

  17. The parametric equation x=2a((1-t^(2)))/(1+t^(2)) and y=(4at)/(l+t^(2)...

    Text Solution

    |

  18. If a straight line through C(-sqrt8,sqrt8) making an angle 135^(@) wit...

    Text Solution

    |

  19. The locus of the point of intersection of the tangents to the circle x...

    Text Solution

    |

  20. Equation to the tangent at (a(1+cos alpha), a sin alpha) on the circle...

    Text Solution

    |