Home
Class 12
MATHS
If the normal at the point P( theta) ...

If the normal at the point `P( theta)` to the ellipse `(x^(2))/(14)/(y^(2))/(5)=1` intersects it again at the point Q `(2 , theta)` then ` cos theta` is equal to

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

Find the focal distance of point P(theta) on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The normal at a point P(theta) on the ellipse 5x^(2)+14y^(2)=70 cuts the curve again at a point Q(2 theta) then cos thetahat I

If the normal at theta on (x^(2))/(a^(2))+(y^(2))/(b^(2))=1,(a>b) intersects the curve again at phi then

If P(theta) and Q((pi)/(2)+theta) are two points on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 then find the locus of midpoint of PQ

If P and Q are points with eccentric angles theta and (theta+(pi)/(6)) on the ellipse (x^(2))/(16)+(y^(2))/(4)=1 , then the area (in sq. units) of the triangle OPQ (where O is the origin) is equal to

If the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, is normal at (a cos theta,b sin theta) then eccentricity of the ellipse is

If the length of the major axis intercepted between the tangent and normal at a point P (a cos theta, b sin theta) on the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) =1 is equal to the length of semi-major axis, then eccentricity of the ellipse is

If a tangent and a normal to the ellipse x^(2)+4y^(2)=4 at the point theta meets its major axis at P and Q such that PQ=2 then (1+cos theta)/(2)=

The points P,Q,R are taken on ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with eccentric angles theta,theta+a,theta+2a, then area of ,Delta PQR is independent of

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

    |