Home
Class 12
MATHS
Consider an ellipse x^2/25+y^2/9=1 with...

Consider an ellipse `x^2/25+y^2/9=1` with centre c and a point P on it with eccentric angle `pi/4.` Nomal drawn at P intersects the major and minor axes in `A and B` respectively. `N_1 and N_2` are the feet of the perpendiculars from the foci `S_1 and S_2` respectively on the tangent at P and N is the foot of the perpendicular from the centre of the ellipse on the normal at P. Tangent at P intersects the axis of x at T.

Text Solution

Verified by Experts

The correct Answer is:
(A) Q; (B) S; (C) P; (D) R
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos
  • ELLIPSE

    MOTION|Exercise Exercise - 2 (Level-II) Multiple Correct | JEE Advanced|5 Videos
  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos
  • FUNCTION

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

Similar Questions

Explore conceptually related problems

If the normal at any point P on the ellipse cuts the major and minor axes in G and g respectively and C be the centre of the ellipse, then

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

If M_(1) and M_(2) are the feet of perpendiculars from foci F_(1) and F_(2) of the ellipse (x^(2))/(64)+(y^(2))/(25)=1 on the tangent at any point P of the ellipse then

P is a point on the parabola y^(2)=4ax whose ordinate is equal to its abscissa and PQ is focal chord, R and S are the feet of the perpendiculars from P and Q respectively on the tangent at the vertex, T is the foot of the perpendicular from Q to PR, area of the triangle PTQ is

The locus of the foot of the perpendicular drawn from the centre on any tangent to the ellipse x^2/25+y^2/16=1 is:

MOTION-ELLIPSE -Exercise - 3 | Subjective | JEE Advanced
  1. If any two chords be drawn through two points on the major axis of an ...

    Text Solution

    |

  2. The tangent at any point P of a circle x^2 + y^2 = a^2 meets the tange...

    Text Solution

    |

  3. An ellipse has foci at F1(9, 20) and F2(49, 55) in the xy-plane and is...

    Text Solution

    |

  4. The tangent at the point alpha on a standard ellipse meets the auxilia...

    Text Solution

    |

  5. Find the equations of the lines with equal intercepts on the axes & wh...

    Text Solution

    |

  6. If a tangent having a slope of -4/3 to the ellipse x^2/18 + y^2/32 = 1...

    Text Solution

    |

  7. Let d be the perpendicular distance from the centre of the ellipse x^2...

    Text Solution

    |

  8. The tangent at a point P on an ellipse intersects the major axis at T ...

    Text Solution

    |

  9. If the tangent at any point of an ellipse x^2/a^2 + y^2/b^2 =1 makes a...

    Text Solution

    |

  10. Common tangents are drawn to the parabola y^2 = 4x & the ellipse 3x^2 ...

    Text Solution

    |

  11. P & Q are the corresponding points on a standard ellipse & its auxilia...

    Text Solution

    |

  12. A tangent to the ellipse x^2/a^2 +y^2/b^2 =1 touches at the point P on...

    Text Solution

    |

  13. If the normal at the point P( theta) to the ellipse (x^(2))/(14)...

    Text Solution

    |

  14. PG is the normal to a standard ellipse at P, G being on the major axis...

    Text Solution

    |

  15. Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then th...

    Text Solution

    |

  16. ABC is an isosceles triangle with its base BC twice its altitude. A po...

    Text Solution

    |

  17. A circle intersects an ellipse x^2/a^2+y^2/b^2=1 precisely at three po...

    Text Solution

    |

  18. Given the equation of the ellipse (x-3)^2/(16)+(y-4)^2/(49)=1 a parabo...

    Text Solution

    |

  19. Consider the parabola y^2 =4x and the ellipse 2x^2 + y^2 =6, intersect...

    Text Solution

    |

  20. Consider an ellipse x^2/25+y^2/9=1 with centre c and a point P on it ...

    Text Solution

    |