Home
Class 12
MATHS
At what point will be tangents to the cu...

At what point will be tangents to the curve `y=2x^3-15 x^2+36 x-21` be parallel to x=axis? Also, find the equations of the tangents to the curve at these points.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA ENGLISH|Exercise All Questions|159 Videos

  • THE PLANE

    RD SHARMA ENGLISH|Exercise All Questions|305 Videos

Similar Questions

Explore conceptually related problems

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

The points at which the tangents to the curve y=x^(3)-12x+18 are parallel to the X-axis are

The points at which the tangents to the curve y = 3^(2) - 12 x + 18 are parallel to x-axis are

The point at which the tangent to the curve y=x^2-4x is parallel to x-axis is

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

Find points at which the tangent to the curve y=x^(3)-3x^(2)-9x+7 is parallel to the x-axis

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

The equation of the tangent to the curve y=x+4/x^2 that is parallel to the X-axis, is

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is paralle...

    Text Solution

    |

  2. Find the point on the curve y=x^2 where the slope of the tangent is eq...

    Text Solution

    |

  3. At what point will be tangents to the curve y=2x^3-15 x^2+36 x-21 be p...

    Text Solution

    |

  4. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  5. Find the point on the curve y=3x^2+4 at which the tangent is perpendic...

    Text Solution

    |

  6. Find the equation of the normal to y=2x^3-x^2+3 at (1,4).

    Text Solution

    |

  7. Find the point on the curve y=3x^2-9x+8 at which the tangents are equa...

    Text Solution

    |

  8. Find the equation of the tangent to the curve x=theta+sintheta,y=1+cos...

    Text Solution

    |

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

    Text Solution

    |

  10. The equation of the tangent at (2,\ 3) on the curve y^2=a x^3+b is ...

    Text Solution

    |

  11. Find the equation of the tangent line to the curve y=x^2+4x-16 which i...

    Text Solution

    |

  12. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  13. Find the angle of intersection of the following curves: x y=6a n dx^2...

    Text Solution

    |

  14. Show that the curves x=y^2a n dx y=k cut at right angles, if 8k^2=1

    Text Solution

    |

  15. The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...

    Text Solution

    |

  16. Determine the quadratic curve y=f(x) if it touches the line y=x at the...

    Text Solution

    |

  17. Find all the tangents to the curve y=cos(x+y),-2pilt=xlt=2pi \ that...

    Text Solution

    |

  18. Find the equation of the normal to the curve y=(1+x)^y+sin^(-1)(sin^2x...

    Text Solution

    |

  19. Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the po...

    Text Solution

    |

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

    Text Solution

    |