Home
Class 12
MATHS
The length of the subnormal at 't' on th...

The length of the subnormal at 't' on the curve` x = a (t + sin t), y = a(1-cos t)` is

A

`a sin t`

B

`2a sin^(3) (t/2) . sec (1/2)`

C

`sin (t/2). tan (t/2)`

D

`2a sin (t/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

The length of the subtangent at t on the curve x=a(t+sint),y=a(1-cost) is

x = sin t, y = cos 2 t .

x=sin t, y= cos 2t.

If x = sin t, y = cos pt then...

If ST and SN are the lengths of the subtangent and the subnormal at the point theta =(pi)/(2) on the curve x = a (theta + sin theta), y = a (1 - cos theta), a ne1 then...

The equation of the normal at the point 't' to the curve x=at^(2), y=2at is :

The slope of the tangent to the curve : x=a sin t, y = a(cos t+log "tan" (t)/(2)) at the point 't' is :

Find the equation of tangent to the curve given by x = a sin^(3) t , y = b cos^(3) t at a point where t = (pi)/(2) .

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

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The subtangent at x = pi/2 on the curve y = x . sin x is

    Text Solution

    |

  2. The length of the subnormal to the curve x^(2)-y^(2) =12 at (4,-2) is

    Text Solution

    |

  3. The length of the subnormal at 't' on the curve x = a (t + sin t), y =...

    Text Solution

    |

  4. The length of the subtangent at t on the curve x=a(t+sint),y=a(1-cost)...

    Text Solution

    |

  5. The length of the subnormal at any point(x,y) on the curve y^(2) = 4ax...

    Text Solution

    |

  6. The length of the subnormal to the curve y^(2)=x^(3) at the point (4, ...

    Text Solution

    |

  7. The length of the subtangent to the curve sqrtx + sqrt y = 3 at (4,1)

    Text Solution

    |

  8. The length of the subtangent to the curve x^(2)y^(2) = a^(4) at (-a, -...

    Text Solution

    |

  9. The length of the subtangent for the curve x^(5) = 2y^(6) at (1/2,1/2)...

    Text Solution

    |

  10. The length of the subtangent for the curve 2y^(2) = x^(3) at (2,2) is

    Text Solution

    |

  11. The square of the subtangent to the curve (x+a)^(3) = by^(2) is propor...

    Text Solution

    |

  12. The subtangent, ordinate and subnormal to th parabola y^(2)=4ax at a p...

    Text Solution

    |

  13. Subtangent at any point (x,y) on y = ae^(x/b) is

    Text Solution

    |

  14. If s = 5 sin 2t, then the velocity at the end of pi/4 second is

    Text Solution

    |

  15. The distance s feet travelled by a particle in time t seconds is given...

    Text Solution

    |

  16. If the displacement of a particle is nil then distance travelled will ...

    Text Solution

    |

  17. If the displacement s at a time t is given by s = sqrt(1-t), than the ...

    Text Solution

    |

  18. An edge of a variable cube is increasing at the rate of 10 cm per seco...

    Text Solution

    |

  19. The rate of change of the volume of the sphere w.r.t its surface area,...

    Text Solution

    |

  20. The volume of the sphere is increasing at a constant rate. Then the ra...

    Text Solution

    |