Home
Class 12
MATHS
the locus of the point of intersectio...

the locus of the point of intersection of tangents to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` which meet at right , is

A

a circle

B

a parabola

C

an ellipse

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 Single Correct Answer)|10 Videos

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer)|15 Videos

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Single Correct Answer)|15 Videos

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

Similar Questions

Explore conceptually related problems

" Locus of the point of intersection of tangents to the ellipse " (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 " which makes an angle " theta " is."

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , which make complementary angles with x - axis, is

Find the locus of the point of intersection of the tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) if the difference of the eccentric angles of their points of contact is 2 alpha.

If the locus of the point of intersection of perpendicular tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is a circle with centre at (0,0) then the radius of the circle would be

If the locus of the middle point of the portion of a tangent of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axes is ((a^(2))/(x^(2)))+((b^(2))/(y^(2)))=k, then the value of k is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

Statement-1: Tangents drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse (x^(2))/(16)+(y^(2))/(9)=1 are at right angle Statement-2: The locus of the point of intersection of perpendicular tangents to an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is its director circle x^(2)+y^(2)=a^(2)+b^(2) .

Locus of the point of intersection of the tangents to (x^(2))/((73)^(2)) + (y^(2))/((14)^(2)) =1 which intersect at right angles is a circle with centre (0, 0) and radius r, then r^(2) equals _________ .

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 axes is the curve

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

MCGROW HILL PUBLICATION-ELLIPSE-Solved Examples (Level 1 Single Correct Answer)
  1. The eccentricity of an ellipse with its centre at the origin is (1)/(2...

    Text Solution

    |

  2. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  3. the locus of the point of intersection of tangents to the ellipse...

    Text Solution

    |

  4. The normal at an end of a latus rectum of the ellipse x^2/a^2 + y^2/b^...

    Text Solution

    |

  5. The locus of the middle points of the portions of the tangents of the ...

    Text Solution

    |

  6. In a model, it is shown that an arc of a bridge in semi-elliptical wit...

    Text Solution

    |

  7. Find the locus of the foot of the perpendicular drawn from the cent...

    Text Solution

    |

  8. Theorem:-The sum of the focal diatances of any point on an ellipse is ...

    Text Solution

    |

  9. The line passing through the extremity A of major axis and extremity B...

    Text Solution

    |

  10. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  11. A parabola has its latus rectum along PQ, where P(x1, y1) and Q(x2, y2...

    Text Solution

    |

  12. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

    Text Solution

    |

  13. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

  14. An ellipse is drawn by taking a diameter of the circle (x – 1)^2 + y^2...

    Text Solution

    |

  15. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  16. A rod of length 12 cm moves with its ends always touching the coord...

    Text Solution

    |

  17. Find the eccentricity of an ellipse whose latus rectum in one half of ...

    Text Solution

    |

  18. If the equation 5[(x - 2)^2+(y-3)^2]=(lambda^2-2lambda+1)(2x+y-1)^2 re...

    Text Solution

    |

  19. If the line l x+m y+n=0 cuts the ellipse ((x^2)/(a^2))+((y^2)/(b^2)...

    Text Solution

    |

  20. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |