Home
Class 12
MATHS
Find the equation of the tangent to the ...

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`

Text Solution

Verified by Experts

The correct Answer is:
`x+y+-5=0`
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

Find the equations of the tangents to the ellipse 2x^2 + 3y^2 = 30 , which are parallel to the straight line x + y + 18 = 0.

Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 which are parallel to the straight line 4x+3y+5=0

Find the equations of the tangents ot the ellipse x^(2)+3y^(2)=4 which are perpendicular to x+2y+7=0 .

Find the equation of the tangents to the cirlce x^(2)+y^(2)=81 which are perpendicular to the line 4x+3y=0

Find the equation of the tangent line to the curve y = x^(2) – 2x +7 which is (a) parallel to the line 2x – y + 9 = 0 (b) perpendicular to the line 5y – 15x = 13.

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (x= 1,y= 1) .

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

Find the equation of the tangent to the curve y= sqrt(5x-3)-2 , which is parallel to the line 4x-2y+3=0

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

CHHAYA PUBLICATION-TANGENT AND NORMAL -LONG ANSWER TYPE QUESTIONS
  1. Find the equation of tangnets to the hyperbola (x^(2))/(25)-(y^(2))/(3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Show that the tangents at the ends of latus rectum of an ellipse inter...

    Text Solution

    |

  20. Find the equation of the common tangent to the circle x^(2)+y^(2)=8 an...

    Text Solution

    |