Home
Class 12
MATHS
Show that the tangent to the curve x = a...

Show that the tangent to the curve `x = a (t - sin t), y = at (1 + cos t)` at
`t = pi/2` has slope.(1- pi/2)`

Text Solution

Verified by Experts

The correct Answer is:
`1-(pi)/(2)`
Promotional Banner

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • CHSE ODISHA EXAMINATION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group C (30 Marks) |13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (4 MARK)|47 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the tangent to the curve x = sin 3t, y = cos 2t at t = pi/4

Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at t = pi/4 .

Find the slope of the tangent to the curve x=2(t-sin t) and y = 2(1-cost) at t= (pi)/(4)

Find the slope of the tangent to the curve x=2(theta-sin2theta), y= 2(1-cos theta)at θ=(pi)/4 .

Find the slope of the tangent to the curve y=sin 3t,x=2t at t=pi/4

Find (dy)/(dx) , if x=a(t-sint), y=a(1-cost)at t=(pi)/2

Find the equation of tangent to the curve x=sin 3t,y=cos 2t at t =pi/4

Prove that all normals to the curve x = a cos t + at sin t, y = a sin t - at cos t are at a distance a from the origin.

ARIHANT PUBLICATION-CHSE ODISHA EXAMINATION PAPER 2020 -GROUP B (ANSWER ANY THREE QUESTIONS)
  1. Four cards are drawn successively with replacement from a well shuffle...

    Text Solution

    |

  2. Find the inverse of the matrix [{:(4,-2),(3,1):}]

    Text Solution

    |

  3. There are two families A and B. There are 4 men, 6 women and 2 childre...

    Text Solution

    |

  4. Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y

    Text Solution

    |

  5. There are 25 girls and 15 boys in class XI and 30 boys and 20 girls in...

    Text Solution

    |

  6. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

    Text Solution

    |

  7. Examine the continuity of the following function at x = 0 :f(x)={(2x+1...

    Text Solution

    |

  8. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

    Text Solution

    |

  9. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

    Text Solution

    |

  10. Find the approximate value of sqrt(48.96)

    Text Solution

    |

  11. Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.

    Text Solution

    |

  12. Evaluate the following integrals int(3sinx+28cosx)/(5sinx+6cosx)dx

    Text Solution

    |

  13. Evaluate the following integrals : int(0)^(pi//2)log|(4+3sinx)/(4+3c...

    Text Solution

    |

  14. The area between x=y^(2) and x=4 is divided into two equal parts by th...

    Text Solution

    |

  15. Solve: xdy/dx+y=y^2ln x

    Text Solution

    |

  16. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  17. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

    Text Solution

    |

  18. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

    Text Solution

    |

  19. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

    Text Solution

    |

  20. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |