Home
Class 12
MATHS
The straight line x+y=sqrt2P will touc...

The straight line `x+y=sqrt2P` will touch the hyperbola `4x^2-9y^2=36` if

A

`p^(2)=2`

B

`p^(2)=5`

C

`p^(2)=(2)/(5)`

D

`p^(2)=(2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 3|17 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Subjective Type Questions|6 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

For the hyperbola 4x^2-9y^2=36 , find the Foci.

The eccentricity of the hyperbola 4x^(2)-9y^(2)=36 is :

If the values of m for which the line y=mx+2sqrt(5) touches the hyperbola 16x^(2)-9y^(2)=144 are the roots of the equation x^(2)-(a+b)x-4=0 , then the value of a+b is

. A straight line touches the rectangular hyperbola 9x^2-9y^2=8 and the parabola y^2= 32x . An equation of the line is

The value of m, for which the line y = mx + 2 is a tangent to the hyperbola 4x^(2)-9y^(2)-36 are

If the line 2x+sqrt(6)y=2 touches the hyperbola x^2-2y^2=4 , then the point of contact is (-2,sqrt(6)) (b) (-5,2sqrt(6)) (1/2,1/(sqrt(6))) (d) (4,-sqrt(6))

If the straight line ax + by = 2 ; a, b!=0 , touches the circle x^2 +y^2-2x = 3 and is normal to the circle x^2 + y^2-4y = 6 , then the values of 'a' and 'b' are ?

The straight line y=mx+1 is a tangent to the parabola y^2=4x , the find the value of m.

ARIHANT MATHS-HYPERBOLA-Exercise For Session 1
  1. The eccentricity of the conic represented by x^2-y^2-4x+4y+16=0 is 1 (...

    Text Solution

    |

  2. If e(1) and e(2) represent the eccentricity of the curves 6x^(2) - 9y^...

    Text Solution

    |

  3. The transverse axis of a hyperbola is of length 2a and a vertex divide...

    Text Solution

    |

  4. The eccentricity of the hyperbola whose latus-rectum is 8 and length o...

    Text Solution

    |

  5. The straight line x+y=sqrt2P will touch the hyperbola 4x^2-9y^2=36 i...

    Text Solution

    |

  6. The equation of the tangent parallel to y-x+5=0" drawan to "(x^(2))/(3...

    Text Solution

    |

  7. If e and e' are the eccentricities of the hyperbola (x^(2))/(a^(2))-(y...

    Text Solution

    |

  8. If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = ...

    Text Solution

    |

  9. The equation (x^(2))/(10-lambda)+(y^(2))/(6-lambda)=1 represents

    Text Solution

    |

  10. Find the centre, eccentricity, foci and directrices of the hyperbola :...

    Text Solution

    |

  11. For hyperbola x^2sec^2alpha-ycos e c^2alpha=1, which of the following ...

    Text Solution

    |

  12. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  13. Find the standard equation of hyperbola in each of the following cases...

    Text Solution

    |

  14. Find the equation of the hyperbola whose foaci are (0, 5) and (-2, 5) ...

    Text Solution

    |

  15. Prove that the straight lines x/a-y/b =m and x/a+y/b=1/m, where a and ...

    Text Solution

    |

  16. Find the centre, eccentricity and length of axes of the hyperbola 3x^...

    Text Solution

    |

  17. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

    Text Solution

    |