Home
Class 12
MATHS
The curves y=x^3-3x^2-8x-4,y=3x^2+7x+4 t...

The curves `y=x^3-3x^2-8x-4,y=3x^2+7x+4` touch at the point (-1, 0). The equation of the common tangent is

A

`x+y+1=0`

B

`x+y-1=0`

C

`x-y+1=0`

D

`x-y-1=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (RATE OF CHANGE)|78 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (APPROXIMATIONS AND ERRORS)|67 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The curves y=x^2-1,y=8x-x^2-9 touch each other at the point (2, 3). The equation of the common normal is

The two curves y=x^2+1,y=3x^2-4x+3 at (1,2)

If the slope of the tangent to the curve x^(2)-2xy+4y=0 at the point it is (-3)/(2) then find the equation of that point.

To the circle x^(2)+y^(2)-8x-4y+4=0 tangent at the point theta=(pi)/4 is

The equation of the common tangent to y^(2)=8x and x^(2)+y^(2)-12x+4=0 is

If the slope of the tangent to the curve y= x log x at a point on it is (3)/(2) then find the equation of tangent and normal at the point

If the transformed equation of curve is 3x^(2) + xy - y^(2) - 7x + y + 7 = 0 when the axes are translated to the point (1,2) then the original equation of curve is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The two curves 2x^2+y^2=20,x^2-4y^2+8=0

    Text Solution

    |

  2. The two curves x^2+y^2=25,2x^2-9y+18=0

    Text Solution

    |

  3. The curves y=x^3-3x^2-8x-4,y=3x^2+7x+4 touch at the point (-1, 0). The...

    Text Solution

    |

  4. The curves y=x^2-1,y=8x-x^2-9 touch each other at the point (2, 3). Th...

    Text Solution

    |

  5. The angle between the curves y^2=4x and x^2=2y-3 at the point (1, 2) i...

    Text Solution

    |

  6. The angle between the curves y^2=8x,x^2=4y-12 at (2, 4) is

    Text Solution

    |

  7. The angle between the curves xy=4 and x^2-y^2=15 at the point (-4, -1)...

    Text Solution

    |

  8. The angle between the curves y^2=4x+4 and y^2=36(9-x) is

    Text Solution

    |

  9. The angle between curves y^2=4ax,ay=2x^2 is

    Text Solution

    |

  10. The angle between the curves y^2=x,x^2=y at (1, 1) is

    Text Solution

    |

  11. The curves y=3x^2,y^2=2x intersect at origin

    Text Solution

    |

  12. The angle between the curves y^2=4x,x^2=4y at (0, 0) is

    Text Solution

    |

  13. The curves y=x^3, 6y=7-x^2 intersect at (1, 1) at an angle of

    Text Solution

    |

  14. The angle between the curves y=x, y=1//x at (1, 1) is

    Text Solution

    |

  15. The angle between the curves x^2=2y,x^2+y^2=8 at (2, 2) is

    Text Solution

    |

  16. The angle between the curves x^2=4y,x^2+y^2=5 at (-2, 1) is

    Text Solution

    |

  17. The angle between the curves x^2=4y,y^2=4x at (4, 4) is

    Text Solution

    |

  18. The angle between the curves x^2=4y,x^2+y^2=5 at (-2, 1) is

    Text Solution

    |

  19. If theta is the angle between the curves y^2=4ax,ay=2x^2 at (a, 2a), t...

    Text Solution

    |

  20. If theta is the angle between the curves xy=2,y^2=4x at (1, 2), then t...

    Text Solution

    |