Home
Class 12
MATHS
Find the locus of the midpoints of chord...

Find the locus of the midpoints of chords of hyperbola `3x^(2)-2y^(2)+4x-6y=0` parallel to y = 2x.

A

`3x-4y=4`

B

`3y-4x+4=0`

C

`4x-4y=3`

D

`3x-4y=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 midpoints of chords of the hyperbola 3x^(2)-2y^(2)+4x-6=0 which are parallel to y= 2x is

Find the locus of the midpoint of normal chord of parabola y^2=4ax

Find the locus of the midpoint of normal chord of parabola y^2=4a xdot

The locus of the middle points of chords of the circle x^(2)+y^(2)=25 which are parallel to the line x-2y+3=0 , is

The locus of the mid-point of the chords of the hyperbola x^(2)-y^(2)=4 , that touches the parabola y^(2)=8x is

The mid point of the chord x+2y+3=0 of the hyperbola x^(2)-y^(2)=4 is

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2y=0 , which makes an angle of 120^0 at the center.

Find the locus of the midpoint of the chords of circle x^(2)+y^(2)=a^(2) having fixed length l.

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. Radii of director circles of curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  2. The equation of chord of the hyperbola 25x^2- 16y^2 =400 which is bise...

    Text Solution

    |

  3. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. Find the locus of the midpoints of the chords of the circles x^(2)+y^(...

    Text Solution

    |

  6. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  7. If the straight line lx+my+n=0 be a normal to the hyperbola (x^2)/(a^2...

    Text Solution

    |

  8. The pole of the line lx+my+n=0 with respect to the hyperbola (x^(2))/(...

    Text Solution

    |

  9. If the polars of (x1,y1)" and "(x2,y2) with respect to the hyperbola (...

    Text Solution

    |

  10. The distance between the directrices of the hyperabola x=8 sec theta, ...

    Text Solution

    |

  11. The equation of hyperbola whose asymtotes are the straight lines 3x-4y...

    Text Solution

    |

  12. A rectangular hyperbola with centre C, is intersect by a circle of rad...

    Text Solution

    |

  13. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

    Text Solution

    |

  14. If the normal at the point t1 to the rectangular hyperbola xy=c^(2) me...

    Text Solution

    |

  15. Prove that the locus of the point of intersection of the tangents at t...

    Text Solution

    |

  16. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

    Text Solution

    |

  17. If the line 2x+sqrt(6)y=2 touches the hyperbola x^2-2y^2=4 , then the ...

    Text Solution

    |

  18. An equation of a tangent to the hyperbola 16x^2-25y^2-96x + 100y-356-...

    Text Solution

    |

  19. If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45, then t...

    Text Solution

    |

  20. Tangents drawn from the point (c, d) to the hyperbola (x^(2))/(a^(2))-...

    Text Solution

    |