Home
Class 12
MATHS
The slope of tangent to the ellipse x^(2...

The slope of tangent to the ellipse `x^(2)+4y^(2)=4` at the point `(2 cos theta, sin theta) "is" sqrt(2)`, find the equation of the tangent.

Text Solution

Verified by Experts

The correct Answer is:
`y=sqrt(2)x+-3`
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|50 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise A MULTIPLE CORRECT ANSWER TYPE|5 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|35 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 slope of the normal to the circle x^(2)+y^(2)=a^(2) at the point (a cos theta, a sin theta) is-

Find the equation of the tangent to the ellise x^(2)+16y^(2)=16 at the point (4 cos alpha, sin alpha) . Hence , find the equation of the tangnets to the ellipse which are inclined at an angle 60^(@) to x-axis.

The slop of the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 at the point (a cos theta, b sin theta) - is

The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

The slope to the tangent to the parabola 3y^(2)=8x at the point ((2)/(3)t^(2),(4)/(3)t) "is" (-2) , find the equation of the tangent.

Find the equation of normal to the ellipse x^(2)+4y^(2)=4 at (2 cos theta, sin theta) . Hence find the equation of normal to this ellipse which is paralel to the line 8x+3y=0 .

The slope of the tangent to the curve y=2sqrt2x

Find the equation of tangent to the circle x^(2)+y^(2)=a^(2) at the point (a cos theta, a sin theta) . Hence , show that the line y=x+a sqrt(2) touches the given circle,Find the coordinats of the point of contact.

If the slope of the tangent line to the curve y= (6)/(x^(2) - 4x + 6 ) at some point on it is zero, then the equation of the tangent is-

Find the equation of the tangent to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

CHHAYA PUBLICATION-TANGENT AND NORMAL -SHORT ANSWER TYPE QUESTIONS
  1. The slope to the tangent to the parabola 3y^(2)=8x at the point ((2)/(...

    Text Solution

    |

  2. Find the equations of the tangents to the circle x^(2)+y^(2)=16 having...

    Text Solution

    |

  3. The slope of tangent to the ellipse x^(2)+4y^(2)=4 at the point (2 cos...

    Text Solution

    |

  4. Find the equation of the tangnet to the curve y=sqrt(3x-2) which is pa...

    Text Solution

    |

  5. Find the point on the curve y=x^(3) where the slop of the tangent is e...

    Text Solution

    |

  6. Using calculus find the cordinates of the point on the parabola y^(2)=...

    Text Solution

    |

  7. Find the eqauations of the tangent to the ellipse 4x^(2)+9y^(2)=36 at ...

    Text Solution

    |

  8. Find the equation of the tangent to the parabola y^(2)=8x which is inc...

    Text Solution

    |

  9. Find the equation of the tangent to the ellise x^(2)+16y^(2)=16 at the...

    Text Solution

    |

  10. Find the equation of the tangnet to the hyperbola 3x^(2)-4y^(2)=12, wh...

    Text Solution

    |

  11. Prove the equation of the tangent from any point on the line 3x-8y+2=0...

    Text Solution

    |

  12. If the length of the length drawn from (f,g) to the circle x^(2)+y^(2...

    Text Solution

    |

  13. Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2...

    Text Solution

    |

  14. Show that the equation of the normal to the hyperbola (x^(2))/(a^(2))-...

    Text Solution

    |

  15. Find the equation of normal to the hyperbola x^(2)-y^(2)=16 " at " (4...

    Text Solution

    |

  16. Find the equation of normal to the parabola y^(2)=4x, paralle to the s...

    Text Solution

    |

  17. Find the equation of normal to the ellipse x^(2)+4y^(2)=4 at (2 ,1).

    Text Solution

    |

  18. Find the equation of that normal to the parabola x^(2)=4ay which maeks...

    Text Solution

    |

  19. Find the eqaution of that normal to the hyperbola 3x^(2)-2y^(2)=10 at ...

    Text Solution

    |

  20. Find the equation of normal to the parabola y^(2)=12x at (3t^(2),6t)....

    Text Solution

    |