Home
Class 12
MATHS
The slope of normal to (3t^(2)+1, t^(3)-...

The slope of normal to `(3t^(2)+1, t^(3)-1)` at t = 1 is ………….

A

`(1)/(2)`

B

`-2`

C

2

D

`-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

The slope of tangent to the curve x=t^(2)+3t-8, y=2t^(2)-2t-5 at the point (2,-1) is …………..

The slope of the tangent to the curve x=t^(2)+3t-8, y=2t^(2)-2t-5 at the point (2,-1) is …………

Check whether 2t + 1 is a factor of 4t^(3) + 4t^(2) - t - 1 or not.

Find the vaoue of each of the folllowing polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vii) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

The half life of a radioactive substance is 20 minutes . The approximate time interval (t_(2) - t_(1)) between the time t_(2) when (2)/(3) of it had decayed and time t_(1) when (1)/(3) of it had decay is

Let r_(1)(t)=3t hat(i)+4t^(2)hat(j) and r_(2)(t)=4t^(2) hat(i)+3that(j) represent the positions of particles 1 and 2, respectiely, as function of time t, r_(1)(t) and r_(2)(t) are in metre and t in second. The relative speed of the two particle at the instant t = 1s, will be

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial : t^(2)-3, 2t^(4)+3t^(3)-2t^(2)-9t-12

The slope of aline {(x,y)//x=2t+3,y=2t+5,t inR} is ............

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. The measure of the angle of intersection between y^(2)=x and x^(2)=y o...

    Text Solution

    |

  2. The point where normal to y=x^(2)-2x+3 is parallel to Y-axis is ……….

    Text Solution

    |

  3. The slope of normal to (3t^(2)+1, t^(3)-1) at t = 1 is ………….

    Text Solution

    |

  4. The equation of normal to 3x^(2)-y^(2)=8 at (2, -2) is ……..

    Text Solution

    |

  5. The angle made by the tangent with the + ve direction of X-axis to x=e...

    Text Solution

    |

  6. The equation of tangent to y=cos x at (0, 1) is ………..

    Text Solution

    |

  7. The equation of normal to y = sin x at ((pi)/(2),1) is ……….

    Text Solution

    |

  8. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

    Text Solution

    |

  9. The point on y^(2)=x where tangent makes angle of measure (pi)/(4) wit...

    Text Solution

    |

  10. A cone with its height equal to the diameter of the base is expanding ...

    Text Solution

    |

  11. The rate of increase of f(x)=x^(3)-5x^(2)+5x+25 is twice the rate of i...

    Text Solution

    |

  12. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

    Text Solution

    |

  13. The rate of change of surface area of a sphere w.r.t. radius is ………..

    Text Solution

    |

  14. The rate of change of volume of a cylinder w.r.t. radius whose radius ...

    Text Solution

    |

  15. f(x)=tan^(-1)x-x, is …………

    Text Solution

    |

  16. f(x)=2x-tan^(-1)x-log|x+sqrt(1+x^(2))| is ……….. (x in R)

    Text Solution

    |

  17. If ……….., then f(x)=x^(2)-kx+20, [0,3] is strictly increasing.

    Text Solution

    |

  18. f(x)=|x-1|+|x-2| is increasing if ………..

    Text Solution

    |

  19. The points on the curve 9y^(2)=x^(3), where the normal to the curve ma...

    Text Solution

    |

  20. y=mx+4 touches y^(2)=8x, if m = ………..

    Text Solution

    |