Home
Class 12
MATHS
Find the points on the ellipse 4x^(2)+9y...

Find the points on the ellipse `4x^(2)+9y^(2)=36` at which the tangents are paralle to x-axis.

Text Solution

Verified by Experts

The correct Answer is:
`(0, +-2) and (+-,3,0)`
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|42 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|50 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUESTIONS|16 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 points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

Find points on the curve (x^(2))/(9) +(y^(2))/(16) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

Find points on the curve (x^(2))/(4) +(y^(2))/(25) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.

Find the eqauations of the tangent to the ellipse 4x^(2)+9y^(2)=36 at the point (x_(1),y_(1)) , hence find the coordinates of the points on this ellipse at which the tangents are parallel to the line 2x-3y=6

Find the normal to the ellipse 4x^(2)+9y^(2)=36 which is farthest from its centre.

Using calculus find the cordinates of the point on the parabola y^(2)=12x at which the tangent are paralle to the line 2x+3y=5

On the ellipse 4x^(2)+9y^(2)=1 , the points at which the tangents are parallel to the line 8x=9y are-

Find the points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 such that the tangent at each point makes equal angles with the axes.

The points of the ellipse 16x^(2)+9y^(2)=400 at which the ordinate decrease at the same rate at which the abscissa increases is/are given by

CHHAYA PUBLICATION-TANGENT AND NORMAL -VERY SHORT ANSWER TYPE QUESTIONS
  1. If px+qy=r be a tangent to the circle x^(2)+y^(2)=a^(2) at any given ...

    Text Solution

    |

  2. If lx +my+n =0 be a tangent to the circle x^(2)+y^(2)+2gx+2fy+c=0 at a...

    Text Solution

    |

  3. Find the points on the ellipse 4x^(2)+9y^(2)=36 at which the tangents ...

    Text Solution

    |

  4. Is there any tangent paralle to x-axis to the parabola y^(2)+20x ? G...

    Text Solution

    |

  5. Find where the normal to the circle x^(2)+y^(2)-4x+6y+9=0 is parallel ...

    Text Solution

    |

  6. Find the where the tangents to the parabola y=x^(2) is paralle to the...

    Text Solution

    |

  7. Find the coordinates of points on the hyperbola xy=c^(2) at which the...

    Text Solution

    |

  8. Prove that the tangent to the curce y=x^(2)-5x+6 at the points (2,0) a...

    Text Solution

    |

  9. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  10. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  11. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  12. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  13. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  14. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  15. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  16. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  17. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  18. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  19. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  20. Find the equation of the normal at the specified point to each of the ...

    Text Solution

    |