Home
Class 12
MATHS
Let the two foci of an ellipse be (-1,0)...

Let the two foci of an ellipse be (-1,0) and (3,4) and the foot of perpendicular from focus (3,4) upon a tangent to the ellipse be (4,6).
The foot of perpendicular from focus (-1,0) upon the same tangent to the ellipse is

A

1

B

`2sqrt(2)`

C

`sqrt(17)`

D

`sqrt(19)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

Let the two foci of an ellipse be (-1, 0) and (3, 4) and the foot of perpendicular from the focus (3, 4) upon a tangent to the ellipse be (4, 6) . The foot of perpendicular from the focus (-1, 0) upon the same tangent to the ellipse is

Find the foot of the perpendicular from the point (2,4) upon x+y=1.

The locus of the foot of perpendicular from my focus of a hyperbola upon any tangent to the hyperbola is the auxiliary circle of the hyperbola. Consider the foci of a hyperbola as (-3, -2) and (5,6) and the foot of perpendicular from the focus (5, 6) upon a tangent to the hyperbola as (2, 5). The point of contact of the tangent with the hyperbola is

The locus of the foot of perpendicular from my focus of a hyperbola upon any tangent to the hyperbola is the auxiliary circle of the hyperbola. Consider the foci of a hyperbola as (-3, -2) and (5,6) and the foot of perpendicular from the focus (5, 6) upon a tangent to the hyperbola as (2, 5). The directrix of the hyperbola corresponding to the focus (5, 6) is

Let S=(3,4) and S'=(9,12) be two foci of an ellipse. If the coordinates of the foot of the perpendicular from focus S to a tangent of the ellipse is (1, -4) then the eccentricity of the ellipse is

Prove that the product of the perpendiculars from the foci upon any tangent to the ellipse x^2/a^2+y^2/b^2=1 is b^2

Prove that the product of the perpendiculars from the foci upon any tangent to the ellipse x^2/a^2+y^2/b^2=1 is b^2

The locus of the foot of perpendicular from my focus of a hyperbola upon any tangent to the hyperbola is the auxiliary circle of the hyperbola. Consider the foci of a hyperbola as (-3, -2) and (5,6) and the foot of perpendicular from the focus (5, 6) upon a tangent to the hyperbola as (2, 5). The conjugate axis of the hyperbola is

the foot of perpendicular from a focus on any tangent to the ellipse x^2/4^2 + y^2/3^2 = 1 lies on the circle x^2 + y^2 = 25 . Statement 2: The locus of foot of perpendicular from focus to any tangent to an ellipse is its auxiliary circle.

The locus of the foot of the perpendicular from the foci an any tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. Let the two foci of an ellipse be (-1, 0) and (3, 4) and the foot of p...

    Text Solution

    |

  2. Let the two foci of an ellipse be (-1,0) and (3,4) and the foot of per...

    Text Solution

    |

  3. Let the two foci of an ellipse be (-1,0) and (3,4) and the foot of per...

    Text Solution

    |

  4. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  5. PQ is a double ordinate of the parabola y^(2)=4ax. If the normal at P ...

    Text Solution

    |

  6. The area of the rectangle formed by the perpendicular from the center ...

    Text Solution

    |

  7. The length ofthe normal (terminated by the major axis) at a point of t...

    Text Solution

    |

  8. Find the middle point of the chord intercepted on the line 2x-y+3 =0 b...

    Text Solution

    |

  9. Find the locus of the mid point of chords of the ellipse x^(2)/a^(2)+y...

    Text Solution

    |

  10. CP and CD are conjugate semi-diameters of the ellipse x^(2)/a^(2) + y^...

    Text Solution

    |

  11. The equation of the chord of (x^(2))/(36)+(y^(2))/(9)=1 which is ...

    Text Solution

    |

  12. Ifchord ofcontact ofthe tangents drawn from the point (alpha,beta)to t...

    Text Solution

    |

  13. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  14. If tan alpha tan beta=-(a^(2))/(b^(2), then the chord joining two poin...

    Text Solution

    |

  15. If F1" and "F2 be the feet of perpendicular from the foci S1" and "S2 ...

    Text Solution

    |

  16. The area of the rectangle formed by the perpendicular from the center ...

    Text Solution

    |

  17. Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the norma...

    Text Solution

    |

  18. Let Sa n dS ' be two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . I...

    Text Solution

    |

  19. The locus of the point of intersection of perpendicular tangents to x^...

    Text Solution

    |

  20. Prove that the focus of id-points of the portion of the tamgents to th...

    Text Solution

    |