Home
Class 12
MATHS
Find the equation of tangnets to the hyp...

Find the equation of tangnets to the hyperbola `(x^(2))/(25)-(y^(2))/(36)=1`, parallel to the line `3x-3y=0`

Text Solution

Verified by Experts

The correct Answer is:
`2y=3x+-9`
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise A MULTIPLE CORRECT ANSWER TYPE|5 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise INTEGER ANSWER TYPE|5 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|42 Videos
  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos
  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 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 a tangent to the hyperbola x^(2)-2y^(2)=2 parallel to the line 2x-2y+5=0 is-

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x0, y0).

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.

Find the equation of the tangents to the parabola 3y^(2)=8x , parallel to the line x-3y=0 .

Find the point of the hyperbola (x^(2))/(24)-(y^(2))/(18)=1 which is nearest to the line 3x+2y+1=0 and compute the distance between the point and the line.

Find the equation of the tangnet to the hyperbola 3x^(2)-4y^(2)=12 , which are inclined at an angle 60^(@) to x-axis.

Find the equation of the tangent to the ellipse 2x^(2)+3y^(2)=30 , which are parallel to the straight line x+y+18=0

Find the equation of normal to the hyperbola 4x^(2)-9y^(2)=36 , at the point (1,2)

Find the eqaution of that normal to the hyperbola 3x^(2)-2y^(2)=10 at points where the line x+y+3=0 cuts the curve.

CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
  1. Prove that the line x+y=3a touches the curve x^(3)+y^(3)=3axy, find th...

    Text Solution

    |

  2. Find the equation of the tangent to the parabola y^2 = 4x + 5 which is...

    Text Solution

    |

  3. Find the equation of tangnets to the hyperbola (x^(2))/(25)-(y^(2))/(3...

    Text Solution

    |

  4. Find the equation of the tangents to the parabola 3y^(2)=8x, parallel ...

    Text Solution

    |

  5. Find the equation of the tangent to the ellipse 2x^(2)+3y^(2)=30, whic...

    Text Solution

    |

  6. Find the equation of the tangents to the cirlce x^(2)+y^(2)=81 which a...

    Text Solution

    |

  7. Find the equation of the tangent to the parabola y^(2)=8x at the point...

    Text Solution

    |

  8. Find the equations of the tangents ot the ellipse x^(2)+3y^(2)=4 which...

    Text Solution

    |

  9. Find the equation of the tangent, perpendicular to the line x+2y=0, to...

    Text Solution

    |

  10. If the straight line lx+my+n=0 touches the : circle x^(2)+y^(2)=a^(...

    Text Solution

    |

  11. If the straight line lx+my+n=0 touches the : circle x^(2)+y^(2)+2ag...

    Text Solution

    |

  12. If the straight line lx+my+n=0 touches the : parabola y^(2)=4ax, pr...

    Text Solution

    |

  13. Find the condition that the straight line lx+my=n touches the ellipse ...

    Text Solution

    |

  14. If the straight line lx+my+n=0 touches the : hyperbola (x^(2))/(a^(2...

    Text Solution

    |

  15. If the straight line y= x sin alpha+ a sec alpha be a tangent ot the c...

    Text Solution

    |

  16. Find the condition that the straight line x cos theta+ y sin theta =p ...

    Text Solution

    |

  17. Find the condition that the straight line x cos alpha+ y sin alpha=p i...

    Text Solution

    |

  18. hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1.

    Text Solution

    |

  19. If the straight line lx+my=1 touches th curve (ax)^(n)+(by)^(n)=1. The...

    Text Solution

    |

  20. If the straigjht line x cos alpha+ y sin alpha=p touches the curve x^(...

    Text Solution

    |