Home
Class 12
MATHS
If the line 2x+sqrt6y=2 touches the hype...

If the line `2x+sqrt6y=2` touches the hyperbola `x^2-2y^2=4`, then the point of contact is

A

`(-2, sqrt 6)`

B

`(-5, 2sqrt 6)`

C

`(1/2, 1/sqrt6)`

D

`(4, -sqrt 6)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Recent IIT questions

    A DAS GUPTA|Exercise Exercise|20 Videos

  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

Similar Questions

Explore conceptually related problems

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

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

If the line x+my+am^(2)=0 touches the parabola y^(2)= 4ax then the ponit of contact is

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

If the line 5x+12y-9=0 is a tangent to the hyperbola x^(2)-9y^(2)=9 then its point of contact is

A DAS GUPTA-Screening Tests-Exercise
  1. The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is

    Text Solution

    |

  2. The sides of a triangle are sin alpha, cos alpha and sqrt(1+ sin alpha...

    Text Solution

    |

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

    Text Solution

    |

  4. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

    Text Solution

    |

  5. Let vec a , vec b, vec c be three non-zero vectors such that any two ...

    Text Solution

    |

  6. The probability that A speaks truth is (4)/(5), while this probability...

    Text Solution

    |

  7. If three distinct numbers are chosen randomly from the first 100 natur...

    Text Solution

    |

  8. If 4x^4 +9y^4= 64 then the maximum value of x^2+y^2 is (where x and y ...

    Text Solution

    |

  9. If log30(3)=alpha and log30(5)=beta, then log30(8) is equal to

    Text Solution

    |

  10. An infinite G.P has first term x and sum 5 then x belongs to ?

    Text Solution

    |

  11. The number of ways of distributing 8 identical balls in 3 distinct box...

    Text Solution

    |

  12. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  13. If (n-1)Cr=(k^2-3)nC(r+1),then k belong to

    Text Solution

    |

  14. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  15. If the sides of a triangle are in the ratio 1 : sqrt3 : 2, then the an...

    Text Solution

    |

  16. Let f(x) be a strictly increasing and differentiable function, then li...

    Text Solution

    |

  17. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

    Text Solution

    |

  18. Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]. If f(x) is ...

    Text Solution

    |

  19. Let f(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k, then

    Text Solution

    |

  20. The area enclosed between the curves y=ax^2 and x=ay^2(a > 0) is 1 sq....

    Text Solution

    |