Home
Class 12
MATHS
2x+sqrt(6)y=2 touches the hyperbola x^(2...

`2x+sqrt(6)y=2` touches the hyperbola `x^(2)-2y^(2)=4`, then the point of contact is

A

`(-2sqrt(6))`

B

`(-5,2sqrt(6))`

C

`(1/2,(1)/sqrt(6))`2

D

`(4,-sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos
  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos
  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

Similar Questions

Explore conceptually related problems

If the line 3x+4y=sqrt(7) touches the ellipse 3x^(2)+4y^(2)=1, then the point of contact is

The line y=x+2 touches the hyperbola 5x^2-9y^2=45 at the point

If the line y=x+sqrt(3) touches the ellipse (x^(2))/(4)+(y^(2))/(1)=1 then the point of contact is

If the line 2x+sqrt6y=2 touches the hyperbola x^(2)-2y^(2)=a^(2) , then a^(2) is equal to

show that x-2y+1=0 touches the hyperbola x^(2)-6y^(2)=3

If the line x cos alpha+y sin alpha=p touches the ellipse x^(2)/a^(2)+(y^(2))/(b^(2))=1 then the point of contact will be

The line 4sqrt(2x)-5y=40 touches the hyperbola (x^(2))/(100)-(y^(2)_)/(64) =1 at the point

The line y = 4x + c touches the hyperbola x^(2) - y^(2) = 1 if

If the line x+y=1 touches the parabola y^(2)-y+x=0 ,then the coordinates of the point of contact are:

BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES
  1. 2x+sqrt(6)y=2 touches the hyperbola x^(2)-2y^(2)=4, then the point of ...

    Text Solution

    |

  2. The locus of the points of intersectino of the tangents at the extremi...

    Text Solution

    |

  3. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

    Text Solution

    |

  4. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

    Text Solution

    |

  5. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  6. If OAB is an equilateral triangle inscribed in the parabola y^(2) = 4a...

    Text Solution

    |

  7. If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...

    Text Solution

    |

  8. Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)...

    Text Solution

    |

  9. The difference of the focal distances of any point on the hyperbola is...

    Text Solution

    |

  10. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

    Text Solution

    |

  11. The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...

    Text Solution

    |

  12. The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...

    Text Solution

    |

  13. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  14. The radius of the director circle of the hyperbola (x^(2))/(a^(2))-(y^...

    Text Solution

    |

  15. The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...

    Text Solution

    |

  16. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  17. The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...

    Text Solution

    |

  18. The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...

    Text Solution

    |

  19. The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...

    Text Solution

    |

  20. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

    Text Solution

    |

  21. The equation of the parabola with its vertex at (1, 1) and focus (3, 1...

    Text Solution

    |