Home
Class 12
MATHS
Find the equation of the normal to the c...

Find the equation of the normal to the curve `x^3+y^3=8x y` at the point where it meets the curve `y^2=4x` other than the origin.

A

`y=x`

B

`x=-x+4`

C

`y=2x`

D

`y=-2x`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part II|21 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part III|23 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise 1 Part III : Match the Column|4 Videos

  • COMBINATORICS

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

Similar Questions

Explore conceptually related problems

Find the equation of the normal to the curve x^(3)+y^(3)=8xy at the point where it meets the curve y^(2)=4x other than the origin.

Find the equation of normal to the curve x^3+y^3=8xy at point where it is meet by the curve y^2=4x other than origin.

The equation of normal to the curve y^(2)=8x is

The equation of the normal to the curve y=x(2-x) at the point (2, 0) is

Find the equation of the normal to the curve a y^2=x^3 at the point (a m^2,\ a m^3) .

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

Find the equation of the normal to the curve y=|x^(2)-|x||atx=-2

Find the equation of the normal to the curve y=2x^(3)+3 sin x" at "x=0 .

Find the equation of the normal to the curve x^2+2y^2-4x-6y+8=0 at the point whose abscissa is 2.

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part I
  1. Equation of normal drawn to the graph of the function defined as f(x) ...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the equation of the normal to the curve x^3+y^3=8x y at the point...

    Text Solution

    |

  4. Prove that the length of segment of all tangents to curve x^(2/3)+y^(2...

    Text Solution

    |

  5. Tangents are drawn from the origin to the curve y = sin x. Prove that ...

    Text Solution

    |

  6. Q. Number of tangents drawn from the point (-1/2, 0) to the curve y=e^...

    Text Solution

    |

  7. "Let "f(x) ={ underset( x^(2) +8 " "." "x ge0)(-x^(2)" "." "x lt0)...

    Text Solution

    |

  8. Minunun distance between the curves f(x)=e^x and g(x)=ln x is

    Text Solution

    |

  9. The point(s) on the parabola y^2 = 4x which are closest to the circlex...

    Text Solution

    |

  10. If f(x)= a^({a^(|x|)sgn x }),g(x)=a^([a^(|x|)sgn x] for a gt 1, a!=1...

    Text Solution

    |

  11. If f:[1,10]->[1,10] is a non-decreasing function and g:[1,10]->[1,10] ...

    Text Solution

    |

  12. If f(x)=|ax-b|+c|x| is stricly increasing at atleast one point of non ...

    Text Solution

    |

  13. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  14. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  15. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  16. Consider the following statements : S(1): The function y=(2x^(2)-1)...

    Text Solution

    |

  17. Q. Let f (x)=sin^3x+ lambdasin^2x where (pi)/2 ltxlt (pi)/2. The inte...

    Text Solution

    |

  18. "Let "f(x) ={underset(-2x + log(2) (b^(2)-2), x gt1)(x^(3) -x^(2) +10 ...

    Text Solution

    |

  19. Four points A, B, C, D lie in that order on the parabola y = ax^2 +bx+...

    Text Solution

    |

  20. The base of prism is equilateral triangle. The distance from the centr...

    Text Solution

    |