Home
Class 12
MATHS
The locust of the point of intersection ...

The locust of the point of intersection of lines `sqrt3x-y-4sqrt(3k)`=0 and `sqrt2kx+ky-4sqrt3=0` for different value of k is a hyperbola whose eccentricity is 2.

A

ellipse

B

parabola

C

circle

D

hyperbola

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    MOTION|Exercise EXERCISE-2 (Level-I)|17 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-2 (Level-II)|5 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

  • FUNCTION

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

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of lines sqrt3x-y-4sqrt(3k) =0 and sqrt3kx+ky-4sqrt3=0 for different value of k is a hyperbola whose eccentricity is 2.

Prove that the locus of the point of intersection of the lines sqrt(3) x-y-4sqrt(3) k=0 and sqrt(3) kx + ky-4sqrt(3) = 0 for different values of k is a hyperbola whose eccentricity is 2.

The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(3)t=0&sqrt(3)tx+ty-4sqrt(3)=0 (where t is a parameter) is a hyperbola whose eccentricity is:

The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(3)lambda=0 and sqrt(3)lambda x+lambda y-4sqrt(3)=0 is a hyperbola of eccentricity 1 b.2 c.3 d.4

Find the locus of the point of intersection of the lines sqrt(3x)-y-4sqrt(3 lambda)=0 and sqrt(3)lambda x+lambda y-4sqrt(3)=0 for different values of lambda.

The locus of the point of intersection of the lines (sqrt(3))kx+ky-4sqrt(3)=0 and sqrt(3)x-y-4(sqrt(3))k=0 is a conic, whose eccentricity is ____________.

The locus of the point of intersection of the lines, sqrt(2)x-y+4sqrt(2)k=0" and "sqrt(2)kx+ky-4sqrt(2)=0 (k is any non-zero real parameter), is:

Locus of the point of intersection of the lines mx sqrt(3) + my - 4sqrt(3) = 0 and xsqrt(3) - y - 4 msqrt(3) = 0 , where m is parameter , is

MOTION-HYPERBOLA-EXERCISE-1 (SECTION - A)
  1. The eccentricity of the hyperbola 4x^2 – 9y^2 - 8x = 32 is

    Text Solution

    |

  2. The locust of the point of intersection of lines sqrt3x-y-4sqrt(3k)=0 ...

    Text Solution

    |

  3. If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqr...

    Text Solution

    |

  4. If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,...

    Text Solution

    |

  5. The equation of the hyperbola whose foci are (6, 5), (–4, 5) and eccen...

    Text Solution

    |

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

    Text Solution

    |

  7. Given the family of hyperbolas x^(2)/(cos^(2)alpha)-y^(2)/sin^(2)alpha...

    Text Solution

    |

  8. Locus of the middle points of the parallel chords with gradient m of t...

    Text Solution

    |

  9. The equation of the tangent lines to the hyperbola x^(2)-2y^(2)=18 whi...

    Text Solution

    |

  10. If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4, then the po...

    Text Solution

    |

  11. The equation of the common tangent to the parabola y^(2) = 8x and the ...

    Text Solution

    |

  12. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

    Text Solution

    |

  13. If the normal to the rectangular hyperbola xy = c^2 at the point 't' m...

    Text Solution

    |

  14. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

    Text Solution

    |

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

    Text Solution

    |

  16. The ellipse 4x^(2) + 9y^(2) = 36 and the hyperbola 4x^(2) – y^(2) = 4 ...

    Text Solution

    |

  17. The asymptotes of the hyperbola xy–3x–2y=0 are

    Text Solution

    |

  18. If the product of the perpendicular distances from any point on the hy...

    Text Solution

    |