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)`

Promotional Banner

Topper's Solved these Questions

  • PREVIOUS YEAR QUESTION 2019

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |46 Videos

  • RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING

    USHA PUBLICATION|Exercise EXERCISE|103 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

USHA PUBLICATION-PREVIOUS YEAR QUESTION 2020-PREVIOUS YEAR QUESTION
  1. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

    Text Solution

    |

  2. Find the approximate value of sqrt(0.24).

    Text Solution

    |

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

    Text Solution

    |

  4. Examine the contiunity of the following functions at the indicated poi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Solve the following differential equation:- x(dy)/(dx) + y = y^2 lnx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

    Text Solution

    |

  16. The probability of a shooter hitting a target is (3)/(4) Find the mini...

    Text Solution

    |

  17. Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...

    Text Solution

    |

  18. Show that the semivertical angle of a cone of given slant height is ta...

    Text Solution

    |

  19. If y=x^(sinx)+x^3 (sqrt(x^2+4))/(sqrt(x^3+3)) find (dy)/(dx).

    Text Solution

    |

  20. Evaluate : int(x^5+x^4+x^3+x^2+4x+1)/(x^2+1) dx

    Text Solution

    |