Home
Class 12
MATHS
The equation of the tangent to the curve...

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

A

`y=1`

B

`y=2`

C

`y=3`

D

`y=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise High Level Problems (HLP)|33 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-3 Part I|27 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

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

The equation of tangent to the curve y=x+(4)/(x^2) , that is parallel to the x-axis is y = k. Then the value of k is?

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

Equation of the tangent to the curve 4y=x^(2)+3x+2 , which is parallel to X-axis , is

Find the equation of the tangent to the curve : y=3x^(2)-2x+5 , which is parallel to the line 4x-y=10 .

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

The equation of tangent to the curve y=2cos x at x=(pi)/4 is

Find the equation of the tangent to the curve y=sqrt(4x-2) which is parallel to the line 4x-2y+5=0

Find the equation of the tangent line to the curve y=x^(2)+4x-16 which is parallel to the line 3x-y+1=0 .

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-3 Part II
  1. Let f : R to R be defined by if (x)= {underset(2x + 3 " ", " "i...

    Text Solution

    |

  2. Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...

    Text Solution

    |

  3. The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...

    Text Solution

    |

  4. Let f be a function defined by - f(x) ={underset(1" "," ...

    Text Solution

    |

  5. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |

  6. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  7. Let a, b R be such that the function f given by f(x)""=""ln""|x|""+""...

    Text Solution

    |

  8. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  9. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  10. If x = -1 and x = 2 are extreme points of f(x) = alpha log|x| + beta x...

    Text Solution

    |

  11. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  12. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

    Text Solution

    |

  13. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  14. The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...

    Text Solution

    |

  15. The radius of a circle, having minimum area, which touches the curv...

    Text Solution

    |

  16. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  17. Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...

    Text Solution

    |

  18. Let A(4,-4) and B(9,6) be points on the parabola y^(2)=4x. Let C b...

    Text Solution

    |

  19. A helicopter flying along the path y=7+x^((3)/(2)), A soldier standint...

    Text Solution

    |

  20. Let f(x) = (x)/(sqrt(a^(2)+x^(2))=((d-x))/(sqrt(b^(2)+(d-x)^(2)) x in ...

    Text Solution

    |