Home
Class 12
MATHS
The point on the curve y = 6 x - x^(2) ...

The point on the curve `y = 6 x - x^(2)` where the tangent is parallel to the line `4 x - 2y - 1 = 0` is

A

(2, 8)

B

(8, 2)

C

(6, 1)

D

(4,2)

Text Solution

Verified by Experts

The correct Answer is:
A
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

The point on the curve y=6x-x^(2) where the tangent is parallel to x-axis is

Find the point on the curve y=x^2-2x+3 , where the tangent is parallel to x-axis.

Find the points on the curve 2a^2y=x^3-3a x^2 where the tangent is parallel to x-axis.

find the point on the curve y=2x^2-6x-4 at which the tangent is parallel to the x-axis

Find the point on the curve y=2x^2-6x-4 at which the tangent is parallel to the x-axis.

At which points on the curve y=x/((1+x^(2))) , the tangent is parallel to the x-axis.

Find a point on the curve y=(x-3)^2 , where the tangent is parallel to the line joining (4,\ 1) and (3,\ 0) .

At what points on the curve y=2x^2-x+1 is the tangent parallel to the line y=3x+4 ?

Find a point on the curve y=3x^(2)-2x - 4 at which the tangent is parallel to the line 10x-y+7=0 .

Find the points on the curve y=x^3-2x^2-x at which the tangent lines are parallel to the line y=3x-2 .

ICSE-APPLICATIONS OF DERIVATIVES -Multiple Choice Questions
  1. The tangents to the curve x^(2) + y^(2) = 2 at points (1,1) and (-1...

    Text Solution

    |

  2. The point on the curve y^(2) = x , where tangent make an angle of ...

    Text Solution

    |

  3. The point on the curve y = 6 x - x^(2) where the tangent is parallel...

    Text Solution

    |

  4. The points at which the tangents to the curve y = 3^(2) - 12 x + 18 a...

    Text Solution

    |

  5. The point at which the tangent to the curve y = 2 x^(2) - x + 1 is ...

    Text Solution

    |

  6. If the tangent to the curve x = t^(2) - 1, y = t^(2) - t is parallel...

    Text Solution

    |

  7. The tangent to the curve given by x = e^(t) cos t y = e^(t) " sint a...

    Text Solution

    |

  8. The equation of the normal to the curve y = sin x at (0,0) is

    Text Solution

    |

  9. The slope of the normal to the curve x^(2) + 3y + y^(2) = 5 at the poi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |