Home
Class 12
MATHS
The curve y=x^3+x^2-x has two horizontal...

The curve `y=x^3+x^2-x` has two horizontal tangents. The distance between these two horizontal lines, is `(13)/9` (b) `(11)/9` (c) `(22)/(27)` (d) `(32)/(27)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The curve y =-x^3 + 3x^2 + 2x - 27 has the maximum slope at

15.The distance between the lines 3x+4y=9 and 6x+8y=15IS:(c)6(d)210

The point on the curve y=6x-x^2 at which the tangent to the curve is inclined at pi//4 to the line x+y=0 is (-3,\ -27) (b) (3,\ 9) (c) 7//2,\ 35//4) (d) (0,\ 0)

What is the distance (in units) between the two planes 3x+5y+7z=3 " and 9x+15y+21z=9 ?

An ellipse has point (1,-1) and (2,-1) as its foci and x+y-5=0 as one of its tangents.Then the point where this line touches the ellipse is ((32)/(9),(22)/(9))( b) ((23)/(9),(2)/(9))((34)/(9),(11)/(9))(d) none of these

The slope of the tangent line to the curve x+y=xy at the point (2,2) is

A point on the curve y=2x^(3)+13x+5x+9 the tangent at which,passes through the origin is

Find the point on the curve y=x^3-11 x+5 at which the tangent has the equation y=x-11

At what points on the curve x^(3)+y^(3)=6xy is the tangent line horizontal?

RESONANCE DPP-JEE MAINS-All Questions
  1. Tangent and normal to the curve y=2s in x+s in2x are drawn at p(x=pi/3...

    Text Solution

    |

  2. If D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x^2),1/x,1/x],[-(y(y+z)/(x^2z))...

    Text Solution

    |

  3. The curve y=x^3+x^2-x has two horizontal tangents. The distance betwee...

    Text Solution

    |

  4. The exhaustive domain of f(x)=sqrt(x^(12)-x^9+x^4-x+1) is

    Text Solution

    |

  5. The point of intersection of tangent to the curve y=x^4 at (1,1) with ...

    Text Solution

    |

  6. Equation of straight line a x+b y+c=0 , where 3a+4b+c=0 , which is at ...

    Text Solution

    |

  7. Tangents are drawn from the point P(1,-1) to the circle x^2+y^2-4x-6y-...

    Text Solution

    |

  8. If A=[(1,2,2),(2,1,2),(2,2,10] then (A) A^-1= 1/5(A-4I3) (B) A^2-4A-5I...

    Text Solution

    |

  9. The derivative of (log)(10)x w.r.t. x^2 is equal to 1/(2x^2)loge 10 (...

    Text Solution

    |

  10. If A=[1 2 0-1 1 2 2-1 1],t h e ndet(A d j(A d jA))= 13 (b) 13^2 (c) ...

    Text Solution

    |

  11. Which of the following limits tends to unity? (a) ("lim")(xvec0)sin(ta...

    Text Solution

    |

  12. The algebraic sum of the perpendicular distances from A(x1, y1), B(x2,...

    Text Solution

    |

  13. If sum(k=1)^(k=n)tan^(- 1)(2k)/(2+k^2+k^4)=tan^(- 1)(6/7), then the va...

    Text Solution

    |

  14. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 ...

    Text Solution

    |

  15. The area of the triangle formed by the positive x-axis and the normal ...

    Text Solution

    |

  16. Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((...

    Text Solution

    |

  17. Let m ,n are integers with 0<n<mdot A is the point (m , n) on the Cart...

    Text Solution

    |

  18. Let g: R to R be given by g(x)=3 +4x If g^(n) (x)=gogo ....og (x)" t...

    Text Solution

    |

  19. If [1 4 2 0]=[x y^2z0],y<0t h e nx-y+z= 5 (b) 2 (c) 1 (d) -3

    Text Solution

    |

  20. The internal common tangents to two circles with centre C1 and C2 in...

    Text Solution

    |