Home
Class 12
MATHS
Find the locus of the mid point of chord...

Find the locus of the mid point of chords of the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1(agtb)` passing through the point (2a,0).

A

`(xe)/(a)=(x^2)/(a^2)+(y^2)/(b^2)`

B

`(xe)/(a)=(x^2)/(a^2)-(y^2)/(b^2)`

C

`(xe)/(a)=(x^2)/(b^2)+(y^2)/(a^2)`

D

`(ye)/(a)=(x^2)/(a^2)-(y^2)/(b^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1

The locus of mid point of focal chords of ellipse x^2 / a^2 +y^2/b^2 =1

Find the locus of the middle points of chord of an ellipse x^2/a^2 + y^2/b^2 = 1 which are drawn through the positive end of the minor axis.

The locus of the mid-points of the chords of the ellipse x^2/a^2+y^2/b^2 =1 which pass through the positive end of major axis, is.

(i) Find the equation of that chord of the circle x^(2) + y^(2) = 15 , which is bisected at the point (3,2). (ii) Find the locus of mid-points of all chords of the circle x^(2) + y^(2) = 15 that pass through the point (3,4),

Find the locus of the middle points of the chords of the circle x^(2) + y^( 2) = 4 ( y + 1) drawn through the origin.

Prove that the locus of the middle points of normal chords of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 is the curve (x^(2)/a^(2)+y^(2)/b^(2))(a^(6)/x^(2)+b^(6)/y^(2))=(A^(2)-B^(2))^(2)

Prove that the locus of the middle-points of the chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 which pass through a fixed point (alpha, beta) is a hyperbola whose centre is ((alpha)/(2), (beta)/(2)) .

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. The length ofthe normal (terminated by the major axis) at a point of t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Find the value of lambda for which the equation lambdax^2 + 4xy + y^2 ...

    Text Solution

    |

  16. Find the equation of the hyperbola whose : focus is (1,1) directrix is...

    Text Solution

    |

  17. If e and e' be the eccentricities of two conics S=0 and S'=0 and if e^...

    Text Solution

    |

  18. The vertices of a hyperbola are at (0, 0) and (10, 0) and one of its f...

    Text Solution

    |

  19. The equation (x^2)/(12-lambda)+(y^2)/(8-lambda)=1 represents

    Text Solution

    |

  20. The equation (x^2)/(1-k)-(y^2)/(1+k)=1, k gt 1 represents:-

    Text Solution

    |