Home
Class 11
MATHS
The locus of the image of the focus of t...

The locus of the image of the focus of the ellipse `(x^2)/(25)+(y^2)/9=1,(a > b),` with respect to any of the tangents to the ellipse is: (a) `(x+4)^2+y^2=100` (b) `(x+2)^2+y^2=50` (c) `(x-4)^2+y^2=100` (d) `(x+2)^2+y^2=50`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (x= 1,y= 1) .

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.

The eccentricity of the ellipse 4x^(2) + 25y^(2) = 100 is _

The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which a pair of perpendicular tangents is drawn to the ellipse (x^2)/(16)+(y^2)/9=1 is 0 (b) 2 (c) 1 (d) 4

On the ellipse 4x^(2)+9y^(2)=1 , the points at which the tangents are parallel to the line 8x=9y are-

Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which touches the line y=3x+2.

The sum of the focal distances of any point on the ellipse 4x^(2) + 25y = 100 is_

The eccentricity of the ellipse 25 x^(2) + 4y^(2) = 100 is _

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

The line y=2t^(2) intersects the ellipse (x^(2))/(9)+(y^(2))/(4)=1 in real points if

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A hyperbola passes through (2, 3) and has asymptotes 3x-4y+5=0 and 12x...

    Text Solution

    |

  2. From any point to the hyperbola x^2/a^2-y^2/b^2=1, tangents are drawn...

    Text Solution

    |

  3. The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=...

    Text Solution

    |

  4. Let P(a sectheta, btantheta) and Q(asecphi , btanphi) (where theta+p...

    Text Solution

    |

  5. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

    Text Solution

    |

  6. The equation 3x^2+4y^2-18x+16 y+43=k represents an empty set, if k<0 ...

    Text Solution

    |

  7. If a ray of light incident along the line 3x+(5-4sqrt2)y=15 gets refle...

    Text Solution

    |

  8. If the sum of the slopes of the normal from a point P to the hyperbola...

    Text Solution

    |

  9. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

    Text Solution

    |

  10. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 from w...

    Text Solution

    |

  11. If tangents P Qa n dP R are drawn from a variable point P to thehyperb...

    Text Solution

    |

  12. The locus of a point, from where the tangents to the rectangular hyp...

    Text Solution

    |

  13. The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

    Text Solution

    |

  14. Show that midpoint of focal chords of a hyperbola (x^(2))/(a^(2))-(y^(...

    Text Solution

    |

  15. The curve for which the length of the normal is equal to the length ...

    Text Solution

    |

  16. A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a t...

    Text Solution

    |

  17. The equation of the transvers axis of the hyperbola (x-3)^2+(y+1)^2=(4...

    Text Solution

    |

  18. If a variable line has its intercepts on the coordinate axes e and e^(...

    Text Solution

    |

  19. The locus of the point which is such that the chord of contact of ta...

    Text Solution

    |

  20. The angle between the lines joining the origin to the points of inters...

    Text Solution

    |