Home
Class 12
MATHS
The intercepts on x-axis made by tangent...

The intercepts on x-axis made by tangents to the curve, `oversetxunderset0int|t|dt,x inR` which are parallel to the line y = 2x, are equal to :

A

`+-1`

B

`+-2`

C

`+-3`

D

`+-4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

The intercepts on x-axis made by tangents to the curve y=int_(0)^(x)|t|dt,x in RR , which are parallel to the line y=2x , are equal to-

A tangent to the curve y=underset0overset"x"int|t|dt which is parallel to the line y=x, cuts off an intercept from the y-axis is equal to

find all the tangents to the curve y=cos(x+y),-2pilexle2pi that are parallel to the line x+2y=0

Find all the tangents to the curve y=cos (x+y),-2 pi le x le 2 pi that are parallel to the line x+2y=0 .

Find the equation of the tangent to the curve y= sqrt(5x-3)-2 , which is parallel to the line 4x-2y+3=0

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

Find the equation of the tangnet to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y+5=0

Find the equations of the normal to the curve y=x^3+2x+6 which are parallel to the line x+14 y+4=0.

Find the equation of the normals to the curve y = x^(3) + 2x + 6 which are parallel to the line x + 14y + 4 = 0.

Find the equations of the tangents to the ellipse 2x^2 + 3y^2 = 30 , which are parallel to the straight line x + y + 18 = 0.

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. The distance between the origin and the normal to the curve y=e^(2x)+x...

    Text Solution

    |

  2. Let g(x)={(2e,if,xle1),(log(x-1),if,xgt1):} The equation of the normal...

    Text Solution

    |

  3. The intercepts on x-axis made by tangents to the curve, oversetxunders...

    Text Solution

    |

  4. The Rolle's thorem is applicable in the interval -1lexle1 for the func...

    Text Solution

    |

  5. A value of 'c' for which the conclusion of mean value theorem holds fo...

    Text Solution

    |

  6. A value of ‘c’ for which conclusion of Mean Value Theorem holds for th...

    Text Solution

    |

  7. If f(x)=x^3+bx^2+cx+d and 0ltb^2ltc then in (-oo,oo)

    Text Solution

    |

  8. If f is a twice differentiable function such that f''(x)=-f(x),f'(x)=g...

    Text Solution

    |

  9. Consider a function y = f(x) defined parametrically asy=2t+t, x=t^2 fo...

    Text Solution

    |

  10. The range of value of x for which the function f(x)=x/logx,xgt0 and "x...

    Text Solution

    |

  11. If F(x)=|[x,x^2,x^3],[1,2x,3x^2],[0,2,6x]| , then F'(x) is

    Text Solution

    |

  12. The least value of the function f(x)= cos^(-1)x^2 in the interval [-1/...

    Text Solution

    |

  13. If a function is everywhere continuous and differentiable such that f'...

    Text Solution

    |

  14. If f'(x) exists for all x inR and g(x)=f(x)-(f(x))^2+(f(x))^3forallx i...

    Text Solution

    |

  15. The set of all values of a for which the function f(x)=(sqrt(a+4)/(1...

    Text Solution

    |

  16. The minimum value of the function defined by f(x)=max {x,x+1,2-x} is

    Text Solution

    |

  17. If f(x)gt0 and f"(x)gt0 forallx in R, then for any two real numbers x1...

    Text Solution

    |

  18. If 0ltalphaltbetaltpi/2 then

    Text Solution

    |

  19. A function f is such that f'(4)=f''(4)=0 and f has minimum value 10 at...

    Text Solution

    |

  20. If f(x)=x^2+2bx=2c^2 and g(x)=-x^2-2cx+b^2 are such that min f(x)gtmax...

    Text Solution

    |