Home
Class 12
MATHS
The equaiton of the normal to the curve...

The equaiton of the normal to the curve `3x^(2) - y^(2) = 8` which is parallel to the line x + 3y = 8 is

A

3 x - y = 8

B

3 x + y = 8

C

`x + 3 y pm 8 = 0 `

D

x + 3 y = 0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    ICSE|Exercise Multiple Choice Questions|47 Videos

  • APPLICATION OF INTEGRALS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS|56 Videos

Similar Questions

Explore conceptually related problems

Find the equation(s) of normal(s) to the curve 3x^2-y^2=8 which is (are) parallel to the line x+3y=4.

Find the equation(s) of normal(s) to the curve 3x^2-y^2=8 which is (are) parallel to the line x+3y=4.

Find the equation(s) of normal(s) to the curve 3x^2-y^2=8 which is (are) parallel to the line x+3y=4.

Find the equation of the normals to the curve y=x^3+2x+6 which are parallel to the line x + 14 y + 4 = 0 .

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

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.

Find the equation of a normal to the curve y=x(log_e x) which is parallel to the line 2x-2y+3=0 .

Find the equations of the normal to the curve y=x^3+2x+6 which are parallel to the line x+14 y+4=0.

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

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5.

ICSE-APPLICATIONS OF DERIVATIVES -Multiple Choice Questions
  1. The slope of the normal to the curve x^(2) + 3y + y^(2) = 5 at the poi...

    Text Solution

    |

  2. The point (s) on the curve 9y^(2) = x^(3) where the normal to the cu...

    Text Solution

    |

  3. The equaiton of the normal to the curve 3x^(2) - y^(2) = 8 which is ...

    Text Solution

    |

  4. The angle between the tangents to the curve y = x^(2) - 5 x + 6 at ...

    Text Solution

    |

  5. If the curves ay + x^(2) = 7 and y = x^(3) cut orthogonally at (1,1) ...

    Text Solution

    |

  6. The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^(2) y - y^(3) = 2

    Text Solution

    |

  7. The interval on which the function f(x) = 2x^(3) + 9x^(2) + 12 x - 1 ...

    Text Solution

    |

  8. The interval in which the function f(x) = 2 x^(3)+ 3x^(2) - 12 x + 1 ...

    Text Solution

    |

  9. The function f(x) = x^(2) e^(-x) strictly increases on

    Text Solution

    |

  10. The function f(x) = tan x - x

    Text Solution

    |

  11. The function f(x) = x^(4) - 4x is strictly

    Text Solution

    |

  12. The function f(x) = x^(2) - 2 x is strictly decreasing in the interva...

    Text Solution

    |

  13. The function f(x) = x^(x) , x gt 0 , is increasing on the interval

    Text Solution

    |

  14. Which of the following function is decreasing of (0,(pi)/(2))

    Text Solution

    |

  15. The function f(x) = x^(x) , x gt 0 , is increasing on the interval

    Text Solution

    |

  16. The value of p so that the function f(x) = sin x - cos x - px + q de...

    Text Solution

    |

  17. If x is real, the minimum value of x^(2) - 8 x + 17 is

    Text Solution

    |

  18. The smallest value of th polynomial x^(3) - 18 x^(2) + 96 x in [0,9]...

    Text Solution

    |

  19. The minimum value of x^(2) + (250)/(x) is

    Text Solution

    |

  20. The function f(x) = (x)/( 2) + (2)/( x) has a local minimum at

    Text Solution

    |