Home
Class 12
MATHS
The locus of the foot of perpendicular d...

The locus of the foot of perpendicular drawn from the centre of the ellipse `x^2+""3y^2=""6` on any tangent to it is (1) `(x^2-y^2)^2=""6x^2+""2y^2` (2) `(x^2-y^2)^2=""6x^2-2y^2` (3) `(x^2+y^2)^2=""6x^2+""2y^2` (4) `(x^2+y^2)^2=""6x^2-2y^2`

A

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

B

`(x^2 -y^2)^2 = 6x^2 -2y^2`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MOTION|Exercise Exercise - 3 | Subjective | JEE Advanced|21 Videos

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 4 | Level-II|7 Videos

Similar Questions

Explore conceptually related problems

the locus of the foot of perpendicular drawn from the centre of the ellipse x^(2)+3y^(2)=6 on any point:

The locus of the foot of prependicular drawn from the center of the ellipse x^(2)+3y^(2)=6 on any tangent to it is

Write the centre and eccentricity of the ellipse 3x^(2)+4y^(2)-6x+8y-5=0

The locus of the point of intersection of the tangents at the extremities of the chords of the ellipse x^(2)+2y^(2)=6 which touch the ellipse x^(2)+4y^(2)=4, is x^(2)+y^(2)=4(b)x^(2)+y^(2)=6x^(2)+y^(2)=9(d) None of these

Locus of foot of perpendicular drawn from the centre (0,0) to any tangent on the ellipse kx^(2)+3y^(2)=2 is 3kx^(2)+4y^(2)-6(x^(2)+y^(2))^(2)=0 then the value of (1)/(e^(2)) ( where e is eccentricity of the ellipse) is ......

Locus of the point of intersection of perpendicular tangents on the curve with centre (3/2, 7/2) and radius sqrt(15)/2 is: - (a) 2x^2+2y^2-4x-7y-1=0 (b) 2x^2+2y^2-14 x-7y-1=0 (c) 2x^2+2y^2-6x-14 y-1=0 (d) 2x^2-12 y^2-6x+14 y-1=0

The number of real tangents that can be drawn from (2, 2) to the circle x^(2)+y^(2)-6x-4y+3=0 , is

MOTION-ELLIPSE -Exercise - 4 | Level-I Previous Year | JEE Main
  1. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  2. A focus of an ellipse is at the origin. The directrix is the line x...

    Text Solution

    |

  3. Statement 1: An equation of a common tangent to the parabola y^2=16...

    Text Solution

    |

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

    Text Solution

    |

  5. The equation of the circle passing through the foci of the ellipse ...

    Text Solution

    |

  6. The locus of the foot of perpendicular drawn from the centre of the...

    Text Solution

    |

  7. The area (in sq. units) of the quadrilateral formed by the tangents...

    Text Solution

    |

  8. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  9. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

    Text Solution

    |

  10. The line passing through the extremity A of the major axis and extremi...

    Text Solution

    |

  11. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |

  16. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

    Text Solution

    |

  17. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

    Text Solution

    |

  18. Let F1(x1, 0) and F2(x2, 0), for x1 lt 0 and x2 gt 0, be the foci of t...

    Text Solution

    |

  19. If the tangents to the ellipse at M and N meet at R and the normal to ...

    Text Solution

    |

  20. Consider two straight lines, each of which is tangent to both the c...

    Text Solution

    |