Home
Class 12
MATHS
The point at which the tangent to the cu...

The point at which the tangent to the curve `y = x^(2)-4x` is parallel to x-axis is

A

(0,4)

B

(-2,4)

C

(2,4)

D

(2,-4)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

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

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

Find points at which the tangent to the curve y = x^(3) - 3x^(2) - 9x + 7 is parallel to the x-axis.

Find points at which the tangent to the curve y = x^(3) – 3x^(2) – 9x + 7 is parallel to the x-axis.

The equation of the tangent to the curve y=x+(4)/(x^(2)) , that is parallel to the x-axis, is :

Find the point at which the tangent to the curve y = sqrt(4x - 3) - 1 has its slope 2/3 .

Find the point at which the tangent to the curve y= sqrt( 4x -3)-1 has its slope 2/3

Find the slope of the tangent to the curve y= x^(3)-x at x=2

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

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. If m is the slope of the tangent to the curve, e^(y) =1 +x^(2), then,

    Text Solution

    |

  2. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

    Text Solution

    |

  3. The point at which the tangent to the curve y = x^(2)-4x is parallel t...

    Text Solution

    |

  4. The curve x = y^(2) and xy = k cut at right angles if

    Text Solution

    |

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

    Text Solution

    |

  6. A particle is moving along the curve x = at^(2) + bt +c. If ac = b^(2)...

    Text Solution

    |

  7. The curve x^(n)/a^(n) + y^(n)/b^(n) = 2 touches the line, x/a + y/b = ...

    Text Solution

    |

  8. A particle moves in a straight line so that , s = sqrtt, then its acce...

    Text Solution

    |

  9. The distance travelled by a motor car in t seconds after the brakes ar...

    Text Solution

    |

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

    Text Solution

    |

  11. A stone is thrown vertically upwards from the top of a tower 64 metres...

    Text Solution

    |

  12. The tangent to a given curve y=f(x) is perpendicular to the x -axis if

    Text Solution

    |

  13. A sphere increases its volume at the rate of picc//s. The rate at whic...

    Text Solution

    |

  14. The angle between y^(2)=4x and x^(2)+y^(2)=12 at a point of their inte...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. The surface area of a ball is increasing at the rate of 2 pi sq. cm/s...

    Text Solution

    |

  18. If the area of an expanding circular region increases at a constant ra...

    Text Solution

    |

  19. If f(x)=x^(alpha) logx and f(0)=0, then the value of alpha for which R...

    Text Solution

    |

  20. A point an the parabola y^(2)=18x at which the ordinate increases at t...

    Text Solution

    |