Home
Class 12
MATHS
The line lx+my+n=0 is a tangent to the c...

The line lx+my+n=0 is a tangent to the curve `y=x-x^2+x^3` , then

A

`lgt0,mgt0`

B

`llt0,mlt0`

C

`lmgt0`

D

`lmlt0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

If the line lx+my+n=0 is tangent to the circle x^2+y^2-2ax=0 then find the condition

If the line lx+my+n=0 is tangent to the circle x^(2)+y^(2)=a^(2) , then find the condition.

Line x+y=2 is tangent to the curve x^(2)=3-2y at the point

If lx + my + n = 0 is tangent to the parabola x^(2)=y , them

Let l be the line through (0,0) an tangent to the curve y = x^(3)+x+16. Then the slope of l equal to :

The slope of the tangent to the curve y=x^(2) -x at the point where the line y = 2 cuts the curve in the first quadrant, is

The equation of tangent to the curve y=6-x^(2) , where the normal is parallel to the line x-4y+3=0 is

If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2) , then

If straight line lx+my+n=0 is a tangent of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, then prove that a^(2)l^(2)+b^(2)m^(2)=n^(2)

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. If line T1 touches the curve 8y=(x-2)^2 at (-6,8) and line T2 touches ...

    Text Solution

    |

  2. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  3. The line lx+my+n=0 is a tangent to the curve y=x-x^2+x^3 , then

    Text Solution

    |

  4. Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touche...

    Text Solution

    |

  5. The area of the traingle formed by the coordinate axes and a tangent t...

    Text Solution

    |

  6. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

    Text Solution

    |

  7. The acute angle between the curve y^2=x and x^2=y at (1,1) is

    Text Solution

    |

  8. If the curves y= a^(x) and y=e^(x) intersect at and angle alpha, " th...

    Text Solution

    |

  9. The distance in seconds, described by a particle in t seconds is given...

    Text Solution

    |

  10. A particle is moving in a striaght line according as S=15t+6t^2-t^3, t...

    Text Solution

    |

  11. A particle moves in a straight line so that s=sqrt(t), then its accele...

    Text Solution

    |

  12. A particle moves a distance x in time t according to equation x^(2) = ...

    Text Solution

    |

  13. IF the radius of a circle increases from 3 cm to 3.2 cm, then the incr...

    Text Solution

    |

  14. The length of the side of a square sheet of metal is increasing at the...

    Text Solution

    |

  15. If a spherical balloon has a variable diameter (3x+9//2)., then the ra...

    Text Solution

    |

  16. If the radius of a circle be increasing at a uniform rate of 2cms^(-1)...

    Text Solution

    |

  17. Gas is being pumped into a a spherical balloon at the rate of 30 ft^(3...

    Text Solution

    |

  18. The edge of a cube is increasing at the rate of 5cm//sec. How fast is ...

    Text Solution

    |

  19. If the edge of a cube increases at the rate of 60cm per second, at wha...

    Text Solution

    |

  20. A spherical iron ball 10cm in radius is coated with a layer of ice of ...

    Text Solution

    |