Home
Class 12
MATHS
The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1...

The graphs `y=2x^(3)-4x+2and y=x^(3)+2x-1` intersect in exactly 3 distinct points. Then find the slope of the line passing through two of these points.

A

equal to 4

B

equal to 6

C

equal to 8

D

not unique

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

The graph of the line x=3 passes through the point:

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of m .

Find equation of the line parallel to the line 3x-4y+ 2=0 and passing through the point (-2, 3).

If the two circles (x-1)^2+(y-3)^2= r^2 and x^2+y^2-8x+2y+8=0 intersect in two distinct points, then :

Find the equation of the line parallel to the line 3x- 4y + 2 = 0 and passing through the point (- 2, 5).

Equation of the plane perpendicular to the line x/1=y/2=z/3 and passing through the point (2,3,4) is :

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

The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point of intersection.

Draw the graphs of 3x-2y=4 and x+y-3=0 in the same graph. Also, find the point of intersection of these lines.

ARIHANT MATHS-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
  1. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx ...

    Text Solution

    |

  2. Let f(x)=|(1,1,1),(3x-x,5-3x^(2),3x^(3)-1),(2x^(2)-1,3x^(5)-1,7x^(8)-1...

    Text Solution

    |

  3. The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distin...

    Text Solution

    |

  4. In which of the following functions is Rolles theorem applicable? (a)f...

    Text Solution

    |

  5. The figure shows a right triangle with its hypotenuse OB along the y-a...

    Text Solution

    |

  6. Number of positive integral value(s) of a for which the curve y=a^(x) ...

    Text Solution

    |

  7. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

    Text Solution

    |

  8. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

    Text Solution

    |

  9. Coffee is coming out from a conical filter, with height and diameter b...

    Text Solution

    |

  10. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  11. Water runs into an inverted conical tent at the rate of 20 ft^3/ min a...

    Text Solution

    |

  12. Let f(x)=x^3-3x^2+2x Find f'(x)

    Text Solution

    |

  13. The Curve possessing the property that the intercept made by the tange...

    Text Solution

    |

  14. If f(x) is continuous and differentible over [-2, 5] and -4lef'(x)le3 ...

    Text Solution

    |

  15. A curve is represented parametrically by the equations x=t+e^(at) and ...

    Text Solution

    |

  16. At any two points of the curve represented parametrically by x=a (2 co...

    Text Solution

    |

  17. Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(t))dt on [0,(pi)/(2)], then

    Text Solution

    |

  18. Given f'(1)=1and f(2x)=f(x)AAxgt0.If f'(x) is differentiable, then th...

    Text Solution

    |

  19. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |

  20. Let S be a square with sides of length x. If we approximate the change...

    Text Solution

    |