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

The locus of the point of intersection of perpendicular tangents to the ellipse is called

A

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

B

`x^(2)+y^(2)=4 a^(2)`

C

`x^(2)+y^(2)=6 a^(2)`

D

`x^(2)+y^(2)=8 a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of the perpendicular tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 is

The equation of a circle C_1 is x^2+y^2= 4 . The locus of the intersection of orthogonal tangents to the circle is the curve C_2 and the locus of the intersection of perpendicular tangents to the curve C_2 is the curve C_3 , Then

The locus of the point of intersection of two perpendicular tangents to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , lies on

The locus of the point of intersection of tangents to the circles x=a cos theta, y = a sin theta at points whose parametric angle differs by pi//4 is

Locus of the point of intersection of the tangents at the points with eccentric angles phi and (pi)/(2) - phi on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is

The locus of the middle point of the portion of a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axes is the curve

Locus of the point of intersection of the tangent at the ends of focal chord of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , (b lt a) is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. Given that for the circle x^(2)+y^(2)-4 x+6 y+1=0 the line with equat...

    Text Solution

    |

  2. The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is a...

    Text Solution

    |

  3. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  4. The equation of a circle with centre (4,1) and having 3 x+4 y-1=0 as ...

    Text Solution

    |

  5. The slope of the radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 ...

    Text Solution

    |

  6. If the circle x^(2)+y^(2)+2 x-2 y+4=0 cuts the circle x^(2)+y^(2)+4 ...

    Text Solution

    |

  7. The centre of the circle touching the y -axis at (0,3) and making an ...

    Text Solution

    |

  8. A variablt circle passes through the fixed point (2,0) and touches th...

    Text Solution

    |

  9. The number of circleS that touch all the lines x+y-4=0, x-y+2=0 and y...

    Text Solution

    |

  10. The slope m of a tangtnt through the point (7,1) to the circle x^(2)+...

    Text Solution

    |

  11. The number of common tangtnts that can be drawn to the circleS x^(2)+...

    Text Solution

    |

  12. Two circleS of equal radius ' r ' cut orthogonally. If their centres ...

    Text Solution

    |

  13. The radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 x^(2)+y^(...

    Text Solution

    |

  14. The equation of the normal to the circle x^(2)+y^(2)+6 x+4 y-3=0 at (...

    Text Solution

    |

  15. A line is at a constant distance c from the origin and meets the coord...

    Text Solution

    |

  16. The four distinct points (0,0),(2,0),(0,-2) and (k,-2) are conclyic if...

    Text Solution

    |

  17. The radius of the larger circle lying in the first quadrant and touch...

    Text Solution

    |

  18. The equation of the circle of radius 5 and touching the coordinate ax...

    Text Solution

    |

  19. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

    Text Solution

    |

  20. If P is a point such that the ratio of the squares of the ltngths of t...

    Text Solution

    |