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
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (3) (TRUE AND FALSE) |5 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (3) (FILL IN THE BLANKS)|3 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise PROBLEM SET (2) (FILL IN THE BLANKS) |4 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos

Similar Questions

Explore conceptually related problems

The locus of the midde points ofchords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 parallel to y=2x is

The locus of the middle points of the chords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 , parallel to y=2x is ……………

Knowledge Check

  • The locus of the mid - points of the chords of the hyperbola 3x^(2)-2y^(2)+4x-6y=0 which are parallel to the line y=2x+4 is

    A
    `3x-2y=4`
    B
    `4x-4y=3`
    C
    `3y-4x+4=0`
    D
    `3x-4y=2`

  • 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

    A
    x+2y=0
    B
    2x+y=0
    C
    x-2y=0
    D
    2x-y=0

  • 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

    A
    `x^(2)(x-2)=y^(3)`
    B
    `y^(2)(x-2)=x^(3)`
    C
    `x^(3)(x-2)=y^(2)`
    D
    `y^(3)(x-2)=x^(2)`

    • Similar Questions

    Explore conceptually related problems

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

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

    Find the locus of the mid-points of the chords of the hyperbola x^(2)-y^(2)=1 which touch the parabola y^(2)=4x

    If the locus of the mid points of the chords of the circle x^(2)+y^(2)-2x+2y-2=0 which are parallel to the line y=x+5 is ax+by+c=0(a>0) then (a+c)/(b)=

    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^(@) at the center.

    Home
    Profile