Home
Class 12
MATHS
For the curve x = t^2 - 1, y = t^2 - t, ...

For the curve `x = t^2 - 1, y = t^2 - t,` the tangent line is perpendicular to `x`-axis, then `t =` (i)`0` (ii)`infty` (iii) `1/(sqrt3)` (iv) `-1/(sqrt3)`

A

`t=0`

B

`t=1`

C

`t= (1)/(sqrt3)`

D

`t = (1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s AIEEE/JEE Main Paper|65 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

For the curve x=t^(2)-1,y=t^(2)-t, the tangent line is perpendicular to x -axis,then t=(i)0(ii)prop(iii)(1)/(sqrt(3))(iv)-(1)/(sqrt(3))

For the curve x=t^(2)-1, y=t^(2)-t , the tangent is parallel to X-axis at the point where

Find the equation of tangent to the curve by x = t^(2) + t + 1 , y = t^(2) - t + 1 at a point where t = 1

The slope of the tangent to the curves x=3t^2+1,y=t^3-1 at t=1 is

If lines T_(1) and T_(2) touch the curve y=x^(2)-3x+2 at the points where the curve meets the X- axis, then

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Question for Previous Year.s B-Architecture Entrance Examination Papers
  1. The slope of the normal to curve y= x^(3) - 4x^(2) at (2 , -1) is

    Text Solution

    |

  2. For the curve x = t^2 - 1, y = t^2 - t, the tangent line is perpendicu...

    Text Solution

    |

  3. If f(x) = 4^(sin x) satisfies the Rolle's theorem on [0, pi], then the...

    Text Solution

    |

  4. f(x)=sqrt(25-x^(2)) in [1,5]

    Text Solution

    |

  5. Let f(x) = {(|x-1| + a,"if " x le 1),(2x + 3,"if " x gt 1):} . If f(x)...

    Text Solution

    |

  6. If m be the slope of the tangent to the curve e^(2y) = 1+4x^(2), then

    Text Solution

    |

  7. Let f: (-oo, oo) rarr (-oo, oo) be acontinuous and differentiable func...

    Text Solution

    |

  8. Let f" [1,2] to (-oo,oo) be given by f(x)=(x^(4)+3x^(2)+1)/(x^(2)+1)...

    Text Solution

    |

  9. Let y= f(x) be a curve which passes through (3,1) and is such that nor...

    Text Solution

    |

  10. Let f(x) = {(x "sin" (pi)/(x)",",0 lt x le 1),(0,x =0):} . Then f'(x) ...

    Text Solution

    |

  11. Let f(x) = [1- x^(2)], x in R, where [] is the greatest integer functi...

    Text Solution

    |

  12. A particle is constrained to move along the curve y= sqrtx starting at...

    Text Solution

    |

  13. If the tangent and the normal to x^2-y^2=4 at a point cut off intercep...

    Text Solution

    |

  14. Let f be a differentiable function defined on R such that f(0) =-3. If...

    Text Solution

    |

  15. Let f be a function defined on [-(pi)/(2), (pi)/(2)] by f(x) = 3 cos^(...

    Text Solution

    |

  16. The function f(x) = xe^(-x) has

    Text Solution

    |

  17. Each side of a square is increasing at the uniform rate of 1m/sec. If ...

    Text Solution

    |

  18. Find the rate of change of the volume of a sphere with respect to its ...

    Text Solution

    |

  19. If m is the slope of the tangent to the curve e^(y)=1+x^(2) , then

    Text Solution

    |

  20. f(x) = |x log x|, x gt 0 is monotonically decreasing in

    Text Solution

    |