Home
Class 12
MATHS
If 2x-y+1=0 is a tangent to the hyperbol...

If `2x-y+1=0` is a tangent to the hyperbola `(x^2)/(a^2)-(y^2)/(16)=1` then which of the following CANNOT be sides of a right angled triangle? `a ,4,2` (b) `a ,4,1` `2a ,4,1` (d) `2a ,8,1`

A

`2a, 8, 1`

B

`a, 4, 1`

C

`a, 4, 2`

D

`2a, 4, 1`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|7 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

If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 then which of the following CANNOT be sides of a right angled triangle? (a)a ,4,2 (b) a ,4,1 (c)2a ,4,1 (d) 2a ,8,1

If 2x-y+1=0 is a tangent to hyperbola (x^(2))/(a^(2))+(y^(2))/(16)=1 , then which of the following are sides of a right angled triangle ?

The foci of the hyperbola 4x^(2)-9y^(2)-1=0 are

The foci of the hyperbola 4x^(2)-9y^(2)-1=0 are

The distannce between the tangent to the hyperbola (x^(2))/(4)-(y^(2))/(3) =1 parallel to the line y=x +2 is

Show that the line y=2x-4 is a tangent to the hyperbola (x^(2))/(16)-(y^(2))/(48)=1. Find its point of contact.

Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circle x^(2)+y^(2)=1

The equation of the tangent to the hyperbola 4y^(2)=x^(2)-1 at the point (1,0) , is

ARIHANT MATHS-HYPERBOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The locus a point P(alpha,beta) moving under the condition that the li...

    Text Solution

    |

  2. Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)+(...

    Text Solution

    |

  3. A hyperbola, having the transverse axis of length 2sin theta, is conf...

    Text Solution

    |

  4. Two braches of a hyperbola

    Text Solution

    |

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

    Text Solution

    |

  6. Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with ve...

    Text Solution

    |

  7. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

    Text Solution

    |

  8. The circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 in...

    Text Solution

    |

  9. The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the...

    Text Solution

    |

  10. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

    Text Solution

    |

  11. Let P(6,3) be a point on the hyperbola parabola x^2/a^2-y^2/b^2=1If t...

    Text Solution

    |

  12. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

    Text Solution

    |

  13. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

    Text Solution

    |

  14. Consider the hyperbola H:x^2-y^2=1 and a circle S with centre N(x2,0) ...

    Text Solution

    |

  15. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

    Text Solution

    |

  16. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

    Text Solution

    |

  17. If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 the...

    Text Solution

    |