Home
Class 11
MATHS
The equation of the tangent to the hyper...

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

A

`x=1`

B

`y=1`

C

`y=4`

D

`x=4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|56 Videos
  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
  • INEQUALITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise EXERCISE SECTION-II (Assertion-Reason )|1 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

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

The foci of a hyperbola coincide with the foci of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 . If the eccentricity of the hyperbola is 2 , then the equation of the tangent of this hyperbola passing through the point (4,6) is

Equation of the tangent to the hyperbola 4x^(2)-9y^(2)=1 with eccentric angle pi//6 is

The equation of tangent drawn to the curve y^(2)-2x^(3)-4y+8=0 from the point (1, 2) is given by

Find the equation of the tangent to the curve y=-5x^2+6x+7 at the point (1//2,\ 35//4) .

The equation of the tangents to the hyperbola 3x^(2) -4y^(2) =12 which are parallel to the line 2x+ y+7=0 are

The equation of the tangent to the hyperbola 3x^(2) - 4y^(2) = 12 , which makes equal intercepts on the axes is

Find the equation of the tangents to the hyperbola 3x^(2)-4y^(2)=12 which are (i) Parallel and (ii) perpendicular to the line y=x-7

Find the equation of tangents of the circle x^(2) + y^(2)-10 = 0 at the points whose abscissae are 1.

OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Chapter Test
  1. Find the value of m for which y=m x+6 is tangent to the hyperbola (x^2...

    Text Solution

    |

  2. The equation of the tangent to the hyperbola 4y^(2)=x^(2)-1 at the poi...

    Text Solution

    |

  3. The number of normals to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  4. If e and e1 are the eccentricities of the hyperbola xy=c^(2) and x^(2)...

    Text Solution

    |

  5. A rectangular hyperbola with centre C, is intersect by a circle of rad...

    Text Solution

    |

  6. The equation of the pair of asymptotes of the hyperbola xy-4x+3y=0, is

    Text Solution

    |

  7. If the latus rectum of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))=1 is...

    Text Solution

    |

  8. Chords of the hyperbola x^(2)-y^(2)=a^(2) touch the parabola y^(2)=4ax...

    Text Solution

    |

  9. Tangents drawn from the point (c, d) to the hyperbola (x^(2))/(a^(2))-...

    Text Solution

    |

  10. If the tangent at (h, k) on b^2x^2-a^2y^2=a^2b^2 cuts the auxiliary ci...

    Text Solution

    |

  11. If the chords of contact of tangents drawn from P to the hyperbola x^(...

    Text Solution

    |

  12. The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

    Text Solution

    |

  13. The mid-point of the chord intercepted by the hyperbola 9x^(2)-16y^(2)...

    Text Solution

    |

  14. Locus of P such that the chord of contact of P with respect to y^2=4ax...

    Text Solution

    |

  15. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

    Text Solution

    |

  16. If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2), then

    Text Solution

    |

  17. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

    Text Solution

    |

  18. The product of lengths of perpendicular from any point on the hyperbol...

    Text Solution

    |

  19. The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3, is

    Text Solution

    |

  20. Find the area of the triangle formed by any tangent to the hyperbola (...

    Text Solution

    |