Home
Class 12
MATHS
The curve y=ax^(4)+bx^(2)" with "abgt0...

The curve `y=ax^(4)+bx^(2)" with "abgt0`

A

has no horizontal tangent

B

is concave up

C

is concave down

D

has no points of inflection

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise SECTION - II|10 Videos
  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise SECTION - III|10 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS)|6 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

Find the tangent and normal to the following curves at the given points on the curve. y =x^(2) -x^(4) " at " (1,0)

The curve y=ax^(3)+bx^(2)+cx is inclined at 45^(@) to x-axis at (0,0) but it touches x-axis at (1,0) , then

Find the tangent and normal to the following curves at the given points on the curve. y = x^(4) + 2e^(x) " at " (0,2)

Find the tangent and normal to the following curves at the givne points on the curve. y=x^(4)+2e^(x) at (0, 2)

The curve y=ax^3 + bx^2 + cx + d has a point of inflexion at x=1 , then :

In the curve y=x^(3)+ax and y=bx^(2)+c pass through the point (-1,0) and have a common tangent line at this point then the value of a+b+c is

The points on the curve 9y^(2) = x^(3) , where the normal to the curve makes equal intercepts with the axes are

Find the tangent and normal to the following curves at the givne points on the curve. y=x^(2)-x^(4) at (1, 0)

If the curve y=ax^(1//2)+bx passes through the point (1,2) and lies above the x-axis for 0lexle9 and the area enclosed by the curve, the x-axis, and the line x=4 is 8 sq. units. Then

SURA PUBLICATION-MODAL QUESTION PAPER-PART - IV
  1. The curve y=ax^(4)+bx^(2)" with "abgt0

    Text Solution

    |

  2. Solve : 6x^(4)-35x^(3)+62x^(2)-35x+6=0

    Text Solution

    |

  3. Find the value of k for which the equations kx-2y+z=1, x-2ky+z=-2,x-2y...

    Text Solution

    |

  4. Suppose z(1),z(2)andz(3) are the vertices of an equilateral triangle i...

    Text Solution

    |

  5. If z = x + iy and arg((z - i)/(z + 2))= (pi)/(4). Show that x^(2) + y^...

    Text Solution

    |

  6. If 2+iand3-sqrt2 are the roots of the equation x^(6)-13x^(5)+62x^(4)-1...

    Text Solution

    |

  7. Find the value of tan^(-1)(-1)+cos^(-1)(1/2)+sin^(-1)((-1)/2)

    Text Solution

    |

  8. If cot^(-1)((1)/(7))=theta, find the value of costheta.

    Text Solution

    |

  9. For the ellipse 4x^(2)+y^(2)+24x-2y+21=0, find the centre, vertices, a...

    Text Solution

    |

  10. Find the number of solution of the eqution tan^(-1)(x-1)+tan^(-1)x+tan...

    Text Solution

    |

  11. Find the parametric form vector eqution and Cartesian equations of the...

    Text Solution

    |

  12. Prove by vector method that the perpendiculars (altitudes) from the ve...

    Text Solution

    |

  13. If a tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 makes intercepts...

    Text Solution

    |

  14. Solve the following systems of linear equation by Cramer's rule: 3x...

    Text Solution

    |

  15. Test for consistency and if possible solve the following system of equ...

    Text Solution

    |

  16. If z = x + iy and arg ((z-1)/(z+1))=pi/2, show that x^(2)+y^(2)-1=0.

    Text Solution

    |

  17. Sketch the graph of sinx in [-pi/2,pi/2]andsin^(-1) in [-1, 1].

    Text Solution

    |

  18. Find the equation of the ellipse whose eccentricity is 1/2, one of the...

    Text Solution

    |

  19. A tunnel through a mountain for a four lane highway is to have a ell...

    Text Solution

    |

  20. By vector method, Prove that sin(alpha-beta)=sinalphacosbeta-cosalphas...

    Text Solution

    |

  21. Find the Vector and Cartesian equation of the plane containing the lin...

    Text Solution

    |