Home
Class 12
MATHS
A curve in the plane is defined by th...

A curve in the plane is defined by the parametric equations `x=e^(2t)+\ 2e^(-1)\ a n d\ y=e^(2t)+\ e^tdot` An equation for the line tangent to the curve at the point `t=ln2` is `5x-6y=7` (b) `5x-3y=7` `10 x-7y=8` (d) `3x-2y=3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent line to the curve : y=x^(3)-3x+5 at the point (2, 7)

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.

Find the equation of the tangent to the curve y=-5x^2+6x+7 at the point (1//2,\ 35//4) .

Find an equation of the tangent line to the curve y=e^(x)//(1+x^(2)) at the point (1,e//2)

Find the equation of curve whose parametric equations are x=2t-3,y=4t^(2)-1 is

Find the parametric equations of that circles : 2x^2 + 2y^2 - 5x - 7y-3=0

Find the equation of tangent line to the curve y^(2)-7x-8y+14=0 at point (2,0)

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Find the equations of the tangent and normal to the curve x^(2/3)+y...

    Text Solution

    |

  2. Find the equation of tangent to the curve given by x=asin^3t ,""""y=bc...

    Text Solution

    |

  3. A curve in the plane is defined by the parametric equations x=e^(2t...

    Text Solution

    |

  4. Find the equation of the normal to curve x^2=4y which passes throug...

    Text Solution

    |

  5. Curve C1\ : y=e x\ ln\ x\ a n d\ C2: y=(lnx)/(e x)\ intersect at poin...

    Text Solution

    |

  6. A line is drawn touching the curve y-2/(3-x) . Find line if its ...

    Text Solution

    |

  7. Tangent at point on the curve y^2=x^3 meets the curve again at p...

    Text Solution

    |

  8. Determine the equation of straight line which is tangent at one point ...

    Text Solution

    |

  9. Find the equation of tangent and normal to the curve f(x)={x-2\ \ ...

    Text Solution

    |

  10. Find the point on the curve y=x^3-x^2-x+3, where the tangent is pa...

    Text Solution

    |

  11. Show that the line x/a+y/b=1 touches the curve y=b e^(-x/a) at the p...

    Text Solution

    |

  12. For the curve y=4x^3-2x^5, find all the points at which the tangent...

    Text Solution

    |

  13. The tangent at any point on the curve x=acos^3theta,y=asin^3theta meet...

    Text Solution

    |

  14. Find the acute angle between the curve \ y=sinx\ &\ y=cosx\ dot

    Text Solution

    |

  15. If theta is the angle between y=x^2a n d\ 6y=7-x^3a tdot\ (a , a) Find...

    Text Solution

    |

  16. Find the condition for the two concentric ellipses a1x^2+\ b1y^2=1\...

    Text Solution

    |

  17. If the parabola y^2=4a x ,\ a >0 cuts the hyperbola x y=\ sqrt(2)"\ " ...

    Text Solution

    |

  18. If the curves a y+x^2=7a n dx^3=y cut orthogonally at (1,1) , then fin...

    Text Solution

    |

  19. Show that the curves 2x=y^2 and 2xy=k cut each other at right angles i...

    Text Solution

    |

  20. Find the angle of intersection of curves y=[|sinx|+|cosx|]a n dx^2+y^2...

    Text Solution

    |