Home
Class 12
MATHS
If the tangent at any point (4m^2,8m^3) ...

If the tangent at any point `(4m^2,8m^3)` of `x^3-y^2=0` is a normal to the curve `x^3-y^2=0` , then find the value of `mdot`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise ILLUSTRATION|2 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise SOLVED EXAMPLES|1 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise JEE Previous Year|9 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|17 Videos

Similar Questions

Explore conceptually related problems

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

If 4x+y+k=0 is a tangent to the ellipse x^(2)+3y^(2)=3 then k = ?

If the inequality (m x^2+3x+4)//(x^2+2x+2)<5 is satisfied for all x in R , then find the value of mdot

If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y+4=0 is tan^(-1)(m), then find the value of mdot

If he roots of the equation 12 x^2-m x+5=0 are in the ratio 2:3 then find the value of mdot

Find the asymptotes of the curve x y-3y-2x=0 .

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of mdot

The slope of the normal to the curve y = 2x^(2) + 3 sin x at x = 0 is

CENGAGE-APPLICATION OF DERIVATIVES-Examples
  1. For the curve y = 4x^(3) – 2x^(5) , find all the points at which the t...

    Text Solution

    |

  2. For the curve x y=c , prove that the portion of the tangent intercepte...

    Text Solution

    |

  3. If the tangent at any point (4m^2,8m^3) of x^3-y^2=0 is a normal to th...

    Text Solution

    |

  4. Find the equation of tangents to the curve y = cos(x + y), – 2pi lt=...

    Text Solution

    |

  5. Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.

    Text Solution

    |

  6. Find the acute angle between the curves y=|xhat2-1|a n d y=|x^2-3| at ...

    Text Solution

    |

  7. Find the angle between the curves 2y^2=x^3a n dy^2=32 xdot

    Text Solution

    |

  8. Find the cosine of the angle of intersection of curves f(x)=2^x(log)e ...

    Text Solution

    |

  9. The length of subtangent to the curve, y=e^(x//a) is

    Text Solution

    |

  10. Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costh...

    Text Solution

    |

  11. In the curve x^(m+n)=a^(m-n)y^(2n) , prove that the m t h power of the...

    Text Solution

    |

  12. Find the possible values of p such that the equation p x^2=(log)e x ha...

    Text Solution

    |

  13. Find the shortest distance between the line y=x-2 and the parabola y=x...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. Prove that points of the curve y^2=4a{x+asin(x/a)} at which tangents a...

    Text Solution

    |

  16. Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...

    Text Solution

    |

  17. If f(x)=2x+3, g(x)=1-2x and h(x) =3x. Prove that fo(goh)=(fog)oh.

    Text Solution

    |

  18. Find the derivative of y = tan^-1 (x^2-1)

    Text Solution

    |

  19. Let x be the length of one of the equal sides of an isosceles triangle...

    Text Solution

    |

  20. A lamp is 50ftdot above the ground. A ball is dropped from the same he...

    Text Solution

    |