Home
Class 12
MATHS
If the curve y=2x^(3)+ax^(2)+bx+c passes...

If the curve `y=2x^(3)+ax^(2)+bx+c` passes through the origin and the tangents drawn to it at `x=-1` and x = 2 are parallel to the X - axis, then the values a, b and c are respectively

A

3, -12 and 0

B

(-3, 12 and 0)

C

(-3, -12 and 0)

D

12, -3 and 0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with y-axis, then the value of tan theta is

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

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

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

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to x -axis is

For the curve y = 4x^(3) - 2x^(5) , find all the points at which the tangent passes through the origin.

For the curve y = 4x^(3) – 2x^(5) , find all the points at which the tangent passes through the origin.

The tangent drawn at the point (0,1) on the curve y = e^(2x) meets x-axis at the point

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

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. If ST and SN are the lengths of the subtangent and the subnormal at th...

    Text Solution

    |

  2. If is the acute angle of intersection at a real point of intersection ...

    Text Solution

    |

  3. If the curve y=2x^(3)+ax^(2)+bx+c passes through the origin and the ta...

    Text Solution

    |

  4. The tangent and the normal drawn to the curve y=x^(2)-x+4 at P(1,4) c...

    Text Solution

    |

  5. The length of the subtangent to the curve x^(2)y^(2) = a^(4) at (-a, -...

    Text Solution

    |

  6. The point on the curve y^(2) = x where the tangent makes an angle (pi)...

    Text Solution

    |

  7. The point(s) on the curve y^(3)+3x^(2)=12y, where the tangent is verti...

    Text Solution

    |

  8. The equation of the tangent to the curve x^(n) + y^(n) = 2a^(n) at (a,...

    Text Solution

    |

  9. The volume of a ball is increasing at the rate of 4 pi c.c /sec. The r...

    Text Solution

    |

  10. The speed nu of the particle moving along straight line is given by a+...

    Text Solution

    |

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

    Text Solution

    |

  12. The rate of change of the surface area of a sphere of radius r when th...

    Text Solution

    |

  13. If the distance 's' metres traversed by a particle in 1 seconds is giv...

    Text Solution

    |

  14. A spherical balloon is being inflated at the rate of 35 cc//min. The r...

    Text Solution

    |

  15. If the rate of decrease of x^(2)/2-2x+5 is twice the rate of decrease ...

    Text Solution

    |

  16. OA and OB are two roads enclosing an angle of 120^(@).X and y start fr...

    Text Solution

    |

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

    Text Solution

    |

  18. A function y = f(x) has a second order derivative f''(x) =6(x-1). If i...

    Text Solution

    |

  19. The normal to the curve x = a (1+cos theta), y = a sin theta at theta ...

    Text Solution

    |

  20. The normal to the curve : x=a(cos theta+theta sin theta), y = a (sin...

    Text Solution

    |