Home
Class 12
MATHS
Equation ofa tangent passing through (2,...

Equation ofa tangent passing through (2, 8) to the hyperbola `5x^(2) - y^(2) = 5` is

A

`3x - y + 2= 0`

B

`23x - 3y -22 = 0`

C

`3x - 23y + 178 = 0`

D

`3x + y + 14 = 0`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -D|24 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -E ( Assertion-Reason Type Questions )|18 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Combined equation of pair of tangent to the hyperbola x^(2) - y^(2) = 8 " is " 8x^(2) - 7y^(2) - 16x + 8 = 0 and equation of chord of contect is x = lambda , then value of lambda is __________

The equation of common tangent to the parabola y^(2)=8x and hyperbola 3x^(2)-y^(2)=3 is

The equation of the common tangent to the parabola y^(2) = 8x and the hyperbola 3x^(2) – y^(2) = 3 is

The equation of the tangent to the hyperbola 3x^(2) - 8y^(2) = 24 and perpendicular to the line 3x -2y = 4 is

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.

The equation of the tangent lines to the hyperbola x^(2)-2y^(2)=18 which are perpendicular to the line y = x are

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel to the line x-y=2 is

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel to the line x-y=2 is

Find the equations of tangents drawn to the hyperbola 2x^(2)-3y^(2)=6 through (-2,1)

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
  1. If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

    Text Solution

    |

  2. Two parabola have the same focus. If their directrices are the x-axis ...

    Text Solution

    |

  3. The normal to parabola y^(2) =4ax from the point (5a, -2a) are

    Text Solution

    |

  4. The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

    Text Solution

    |

  5. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

    Text Solution

    |

  6. Let P be a variable on the ellipse (x^(2))/(25)+ (y^(2))/(16) =1 with ...

    Text Solution

    |

  7. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  8. The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(...

    Text Solution

    |

  9. Chord of contact of tangents drawn from the point M(h, k) to the ellip...

    Text Solution

    |

  10. Equation ofa tangent passing through (2, 8) to the hyperbola 5x^(2) - ...

    Text Solution

    |

  11. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

    Text Solution

    |

  12. The angle between a pair of tangents drawn from a point P to the hyper...

    Text Solution

    |

  13. Tangents at any point P is drawn to hyperbola (x^(2))/(a^(2)) - (y^(2)...

    Text Solution

    |

  14. A normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 meets the axes at ...

    Text Solution

    |

  15. If one of varying central conic (hyperbola) is fixed in magnitude and ...

    Text Solution

    |

  16. For the equation of rectangular hyperbola xy = 18

    Text Solution

    |

  17. The equation of the asymptotes of a hyperbola are 4x - 3y + 8 = 0 and ...

    Text Solution

    |

  18. The feet of the normals to (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 from (h...

    Text Solution

    |

  19. If the tangent at the point (asec alpha, b tanalpha ) to the hyberbola...

    Text Solution

    |

  20. If equation of hyperbola is 4(2y -x -3)^(2) -9(2x + y - 1)^(2) = 80, t...

    Text Solution

    |