Home
Class 12
MATHS
find the equation of the tangent and ...

find the equation of the tangent and normal to the given curves at the given points
(i) `y=x^(4) -6x^(3) -10x +5 " at " (1,3)`
(ii) `y^(2) =(x^(3))/(4-x) " at " (2-2)`

Text Solution

Verified by Experts

The correct Answer is:
(i)l Tangent :`y=2x+1,` Normal : x+2y =7
(ii) Tangent : 2x+y=2 , Normal : x-2y=6
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1A|5 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1B|6 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise High Level Problems (HLP)|33 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the tangent and the normal to the given curve at the indicated point : y = x^(3) - 2x + 7 " at " (1, 6)

Find the equations of the tangent and normal to the given curves at the indicated points : (i) y=x^(4)-6x+13x^(2)-10x+5" at "(0, 5) (ii) y=x^(4)-6x^(3)+13x^(2)-10x+5" at "(1, 3) . (iii) y= x^(3)" at " (1, 1) (iv) y=x^(2)" at " (1, 1) (v) x =cost, y = sin t" at "y=(pi)/(4) .

Find the equations of the tangent and the normal to the given curve at the indicated point : y = x^(3) " at " P(1, 1)

Find the equations of the tangent and the normal to the given curve at the indicated point : y = cot^(2) x - 2 cot x + 2 " at " x = (pi)/(4)

Find the equations of tangent and normals to the curves y=x^(2)-4x+2 at (4,2)

Find the equation of tangent and normal to : The curve y=2x^2-4x+3 at (2,3)

Find the equation of the tangent and normal to the circle 2x^2+2y^2-3x-4y+1=0 at the point (1,2)

Find the equations of tangent and normal tothe curves at the indicated points on it.(1) y =x+4x+1 at (-1,-2)

Find the equations of the tangent and normal to the given curves at the indicated points: (i) y=x^4-6x^3+13 x^2-10 x+5 at (0," "5) (ii) y=x^4-6x^3+13 x^2-10 x+5 at (1," "3) (iii) y=x^3 at (1," "1) (iv) y=x^2 at (0," "0) (v) x" "=" cos t ,y=sin t ""at "" t=pi/4

Find the equations of the normals to the following curves at the given points : y=x^(2)-4x+3 at (4, 3).

RESONANCE-APPLICATION OF DERIVATIVES-Self Practice Problems
  1. Find the slope of the normal to the curve x=1-asintheta,y=bcos^2thetaa...

    Text Solution

    |

  2. find the equation of the tangent and normal to the given curves...

    Text Solution

    |

  3. prove theta area of triangle formed by tangent to the curve xy =c^2 an...

    Text Solution

    |

  4. A curve is given by the equations x = at^2 &y=at^3 A variable pair of ...

    Text Solution

    |

  5. How many tangents are possible from (1, 1) to the curve y-1=x^3. Also ...

    Text Solution

    |

  6. Find the equation of tangent to the hyperbola y=(x+9)/(x+5) which pas...

    Text Solution

    |

  7. Radius of a circle is increasing at rate of 3 cm//sec Find the rate ...

    Text Solution

    |

  8. A ladder 5 m long is leaning against a wall. The bottom of the ladd...

    Text Solution

    |

  9. Water is dripping out of a conical funnel of semi-vertical angle 45^@ ...

    Text Solution

    |

  10. A hot air balloon rising straight up from a level field is tracked by ...

    Text Solution

    |

  11. Find the intervals of monotonicity of the following functions. (i...

    Text Solution

    |

  12. Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing ...

    Text Solution

    |

  13. If f(x)=2e^x-ae^(-x)+(2a+1)x-3 monotonically increases for AA x in R,...

    Text Solution

    |

  14. Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-...

    Text Solution

    |

  15. For each of the following graph comment on monotonically of f(x) ...

    Text Solution

    |

  16. Let f(x)=x^3-3x^2+ 3x + 4, comment on the monotonic behaviour of f(x) ...

    Text Solution

    |

  17. Draw the graph of function f(x)={underset([x] " "1 le x le 2)(x " ...

    Text Solution

    |

  18. In each of following graphs identify if x= a is point of local maxi...

    Text Solution

    |

  19. Examine the graph of following functions in each case identify the p...

    Text Solution

    |

  20. Find the points of local maxima or minima of following functions...

    Text Solution

    |