Home
Class 12
MATHS
The straight line x+ y= sqrt(2) p will ...

The straight line ` x+ y= sqrt(2) p` will touch the hyperbola ` 4x^(2) - 9y^(2) = 36` if-

A

`p^(2)=2`

B

`2 p^(2)=5`

C

`p^(2)=5`

D

`5 p^(2)=2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 6|30 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

The foci of the hyperbola 4x^2-9y^2=36 is

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

The line y= mx +c touches the hyperbola b^(2) x^(2) - a^(2) y^(2) = a^(2)b^(2) if-

The eccentricity of the hyperbola 9x^(2) -4y^(2) + 36 = 0 is

The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-2x=0 ,if

Find the condition that the straight line x cos theta+ y sin theta =p may touch the parabola y^(2)= 4ax .

If the straight line y =kx+3 is a tangent to the hyperbola 7x^2-4y^2=28 , find K

The straight line x + y = a will be a tangent to the ellipse (x^(2))/(9) + (y^(2))/(16) = 1 if the value of a is -

If the straight line lx+my+n=0 touches the : hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , show that a^(2) l^(2)-b^(2)m^(2)=n^(2) .

The length of the transverse axis of the hyperbola 9y^(2) - 4x^(2) = 36 is -

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 7
  1. If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y ...

    Text Solution

    |

  2. The locus of the point of intersection of a pair of perpendicular tang...

    Text Solution

    |

  3. The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - ...

    Text Solution

    |

  4. If the focal chord of y^(2)=16x is a tangent to the circle (x-6)^(2) +...

    Text Solution

    |

  5. The area (in square unit ) bounded by the curves y= |x| - 1 and y= ...

    Text Solution

    |

  6. If the normal at the point ( bt(1)^(2), 2 bt(1)) to the parabola y^(2...

    Text Solution

    |

  7. The line y= mx +c touches the hyperbola b^(2) x^(2) - a^(2) y^(2) = a...

    Text Solution

    |

  8. The least value of the sum of any positive real number and its recipro...

    Text Solution

    |

  9. The function f(x)= x^((1)/(x)) is-

    Text Solution

    |

  10. If the chord of contact of tangents from a point on the circle x^(2) +...

    Text Solution

    |

  11. The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a ...

    Text Solution

    |

  12. The length of the rectangle of maximum area that can be inscribed in a...

    Text Solution

    |

  13. If the tangent at any point on the ellipse (x^(2))/(a^(2)) + (y^(2))/(...

    Text Solution

    |

  14. The minimum value of 4e^(2x) + 9e^(-2x) is-

    Text Solution

    |

  15. Suppose the function f(x) is defined as follows : f(x)= x(x-1)(x-2)...

    Text Solution

    |

  16. The pressure p and the volume v of a gas are connected by the relation...

    Text Solution

    |

  17. The population of a country doubles in 50 years. Assuming that the rat...

    Text Solution

    |

  18. Let y= f(x) be the function, which passes through (1, 2) and has slop...

    Text Solution

    |

  19. The radius of a cylinder is increasing at the rate of 3 m/s and its a...

    Text Solution

    |

  20. The function f(x)=x^(2)+4x-2 has a minimum value at-

    Text Solution

    |