Home
Class 12
MATHS
If the tangent to the curve y=x^3+a x+b ...

If the tangent to the curve `y=x^3+a x+b` at (1,6) is parallel to the line `x-y+5=0,` find a and b

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 the tangent line to the curve y=x^2+4x-16 which is parallel to the line 3x-y+1=0 .

Find the equation of the tangent to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y + 5 =0 .

The point at which the tangent to the curve y = 2 x^(2) - x + 1 is parallel to the line y = 3 x + 9 is

Find the equation of the tangent line to the curve y=x^2+4x-16 which is parallel to the line 3x-y+1=0.

Find the equation of the tangent line to the curve y=x^2-2x + 7 which is parallel to the line 2x -y + 9 = 0.

Write the coordinates of the point at which the tangent to the curve y=2x^2-x+1 is parallel to the line y=3x+9 .

If the tangent the curve y^(2) + 3x - 7 = 0 at the point (h,k) is parallel to the line x - y = 4 , then the value of k is

Find the equation of the tangent line to the curve y=sqrt(5x-3)-2 which is parallel to the line 4x-2y+3=0

Find the equation of the tangent line to the curve y=sqrt(5x-3)-2 which is parallel to the line 4x-2y+3=0 .

If the tangent to the curve, y=x^(3)+ax-b at the point (1, -5) is perpendicular to the line, -x+y+4=0 , then which one of the following points lies on the curve ?

RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Find the points on the curve x y+4=0 at which the tangents are incline...

    Text Solution

    |

  2. Find the equation of normal line to the curve y=x^3+2x+6 which is para...

    Text Solution

    |

  3. If the tangent to the curve y=x^3+a x+b at (1,6) is parallel to the l...

    Text Solution

    |

  4. Find the equation of the tangent to the curve x=sin3t ,y=cos2t at t=pi...

    Text Solution

    |

  5. Prove that (x/a)^n+(y/b)^n=2 touches the straight line x/a+y/b=2 for...

    Text Solution

    |

  6. At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is paralle...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. 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

    |