Home
Class 11
MATHS
If the slope of the tangent to the curve...

If the slope of the tangent to the curve `y= x log x` at a point on it is `(3)/(2)` then find the equation of tangent and normal at the point

Text Solution

Verified by Experts

The correct Answer is:
`3x-2y-2 sqrt(e)=0; 4 x+6y-7 sqrt(e) e=0`
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise EXERCISE 7.2 (SHORT ANSWER & LONG ANSWER QUESTIONS)|7 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise EXERCISE 7.3 (SHORT ANSWER & LONG ANSWER QUESTIONS)|8 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED ANALYTICAL SOLVED EXAMPLES|5 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos

Similar Questions

Explore conceptually related problems

If the slope of the tangent to the curve x^(2)-2xy+4y=0 at the point it is (-3)/(2) then find the equation of that point.

The slope of the tangent to the curve y=6+x-x^2 at (2,4) is

Find the slope of the tangent to the curve y = x^(3)-x at x = 2.

Find the slope of the tangent to the curve y = 3x^(4) – 4x at x = 4.

AAKASH SERIES-TANGENT AND NORMAL -EXERCISE 7.1 (SHORT ANSWER & LONG ANSWER QUESTIONS)
  1. Find the slopr of the tangent to the curve y=(x-1)/(x-2) at x ne 2 " a...

    Text Solution

    |

  2. Find the slope of the tangent to the curve y = 3x^(4) – 4x at x = 4.

    Text Solution

    |

  3. Find the equation of tangent and normal to the curve y = "2.e" ^((-x)...

    Text Solution

    |

  4. If the slope of the tangent to the curve x^(2)-2xy+4y=0 at the point i...

    Text Solution

    |

  5. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  6. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  7. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  8. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  9. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  10. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  11. If the slope of the tangent to the curve y= x log x at a point on it i...

    Text Solution

    |

  12. Find the equation of tangent and normal to the curve y=x^(3)+4x at (-1...

    Text Solution

    |

  13. Find the equations of tangent and normal to the curve xy = 10 at (2 , ...

    Text Solution

    |

  14. Show that the curves x^(2)+y^(2)=2, 3x^(2)+y^(2)=4x have a common tang...

    Text Solution

    |

  15. IF the tangent at a point on the curve x^(2//3)+y^(2//3)=a^(2//3) inte...

    Text Solution

    |

  16. At what points on the curve x^(2)-y^(2)=2. The slops of tangents are e...

    Text Solution

    |

  17. Show that the tangent at P(x(1),y(1)) on the curve sqrt(x)+sqrt(y)=sqr...

    Text Solution

    |

  18. IF the tangent at any point P on the curve x^my^n=a^(m+n), mn ne 0 mee...

    Text Solution

    |

  19. Show that the tangent at the point P(2,-2) on the curve y(1-x)=x makes...

    Text Solution

    |

  20. At the point (x(1),y(1)) on the curve x^(3)+y^(3)=3axy show that the t...

    Text Solution

    |