Home
Class 12
MATHS
The tangent to the hyperbola 3x^(2)-y^(2...

The tangent to the hyperbola `3x^(2)-y^(2)=3` parallel to `2x-y+4=0` is:

A

`2x-y-3=0`

B

`2x-y+1=0`

C

`2x+ypm1=0`

D

`2x-y-1=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.6|25 Videos

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

Similar Questions

Explore conceptually related problems

The equation of a tangent to the hyperbola 3x^(2)-y^(2)=3 , parallel to the line y = 2x +4 is

Find the equations of the tangent: to the parabola y^(2)=16x , parallel to 3x-2y+5=0

Find the equations of the tangents: to the parabola 4x^(2)-y^(2)=64 which are parallel to 10x-3y+9=0 .

The equation of tangent to hyperbola 4x^2-5y^2=20 which is parallel to x-y=2 is (a) x-y+3=0 (b) x-y+1=0 (c) x-y=0 (d) x-y-3=0

Tangents are drawn to the hyperbola x^(2)/9 - y^(2)/4 parallel to the straight line 2x - y= 1 . One of the points of contact of tangents on the hyperbola is

Find the equations of tangents to the hyperbola x^(2)/16 - y^(2)/64 =1 which are parallelto 10x -3y + 9=0

Statement 1 : The equations of tangents to the hyperbola 2x^2-3y^2=6 which is parallel to the line y=3x+4 are y=3x-5 and y=3x+5. Statement 2 : For a given slope, two parallel tangents can be drawn to the hyperbola.

Find the equation of the tangent to the curve x^(2) + y^(2) = 5^(2) which are parallel to 2x + 3y =6

The locus of the midde points ofchords of hyperbola 3x^2-2y^2+4x -6y=0 parallel to y=2x is

PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -PROBLEMS FOR PRACTICE
  1. The point of contact of the line 2x-y+2=0 with the parabola y^(2)=16x ...

    Text Solution

    |

  2. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

    Text Solution

    |

  3. If 4x+y+k=0 is a tangent to the ellipse x^(2)+3y^(2)=3 then k = ?

    Text Solution

    |

  4. The tangent to the hyperbola 3x^(2)-y^(2)=3 parallel to 2x-y+4=0 is:

    Text Solution

    |

  5. The eccentricity of the ellipse for which the distance between the dir...

    Text Solution

    |

  6. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

    Text Solution

    |

  7. In are ellispe , the distance between its foci is 6 and its minor axi...

    Text Solution

    |

  8. The tangents at the points t(1) and t(2) on the parabola y^(2)=4ax are...

    Text Solution

    |

  9. The equation of normal at (-3,4) to the circle x^(2)+y^(2)=25 is 4x+3y...

    Text Solution

    |

  10. The equation of the ellipse with foci (pm2,0) vertices (pm3,0) is:

    Text Solution

    |

  11. Identify the type of the conic 3x^(2)-8y^(2)-15x-18y-29=0

    Text Solution

    |

  12. Area of the greatest rectangle inscribed in the ellipse (x^(2))/(16)+(...

    Text Solution

    |

  13. Text Solution

    |

  14. Find the odd man one with respect to the eccentricity of the following...

    Text Solution

    |

  15. Find the position of the point (0,-1) with respect to the circle x^(2)...

    Text Solution

    |

  16. Find the correct statement:

    Text Solution

    |

  17. Find the incorrect statement:

    Text Solution

    |

  18. Find the correct statement:

    Text Solution

    |

  19. Find out the incorrect statement:

    Text Solution

    |

  20. Find the correct pair of statements: (i) The point of intersection o...

    Text Solution

    |