Home
Class 12
MATHS
The abscissae of the points of the curve...

The abscissae of the points of the curve `y=x(x-2)(x-4)`, where tangents are parallel to x-axis, is obtained as :

A

`x=2 pm (2)/(sqrt(3))`

B

`x=1pm (1)/(sqrt(3))`

C

`x=2pm (1)/(sqrt(3))`

D

`x = pm 1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Multiple Choice Questions LEVEL-II|35 Videos
  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|13 Videos
  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 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

The points on the curve y=12x-x^(3) , the tangents at which are parallel to x-axis are :

Find the point on the curve y=x^(3)-3x at which tangent is parallel to X-axis.

Find a point on the curve y=(x-2)^(2) at which the tangent is parallel to the x-axis .

If for the curve y=1 + x^(2) the tangent at (1,-2) is parallel to x-axis then b=

Find the point on the curve (x^(2))/(4)+(y^(2))/(25)=1 at which the tangents are parallel to x-axis.

Find the point on the curve (x^(2))/4+(y^(2))/25=1 at which the tangents are parallel to x - axis.

The point on the curve y=(x-3)^(2) , where the tangent is parallel to the chord joining (3, 0) and (4, 1) is :

If for the curve y=1+bx-x^(2) the tangent at (1, -2) is parallel to x-axis, then b =

The abscissae of the points where the tangent to curve y = x^(3) - 3x^(2) -9x+5 is parallel to x axis are

MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Recent Competitive Questions (Questions from Karnataka CET & COMED)
  1. The abscissae of the points of the curve y=x(x-2)(x-4), where tangents...

    Text Solution

    |

  2. P is the point of contact of the tangent from the orign to the c...

    Text Solution

    |

  3. For the curve 4x^(5)=5y^(4), the ratio of the cube of the sub-tangent ...

    Text Solution

    |

  4. The set of real values of x for which f(x)=(x)/(logx) is increasing is...

    Text Solution

    |

  5. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  6. If for the curve y=1+bx-x^(2) the tangent at (1, -2) is parallel to x-...

    Text Solution

    |

  7. The slopes of the tangent and normal at (0, 1) for the curve y=sinx+e^...

    Text Solution

    |

  8. A stone is thrown vertically upwards and the height x ft, reached by ...

    Text Solution

    |

  9. If sin^(-1) a is the acture angle between the curves x^(2) + y^(2) =4x...

    Text Solution

    |

  10. The maximum area of rectangle that can be inscribed in a circle of rad...

    Text Solution

    |

  11. A stone is dropped into a quiet lake and waves in circles at the speed...

    Text Solution

    |

  12. A gardener is digging a plot of land. As he gets tired, he works more ...

    Text Solution

    |

  13. If f(x)=x^(3) and g(x)=x^(3)-4x in -2lt x lt 2, then consider the stat...

    Text Solution

    |

  14. The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with ...

    Text Solution

    |

  15. The maximum value of ((1)/(x))^(2x^(2)) is :

    Text Solution

    |

  16. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  17. The sub tangent at x=(pi)/(2) on the curve y=sin x is :

    Text Solution

    |

  18. A balloon which always remains spherical is being inflated by pump...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  21. The slant height of a cone is fixed at 7 cm. If the rate of increase ...

    Text Solution

    |