Home
Class 12
MATHS
A tangent drawn to the curve x=e^(t)cos ...

A tangent drawn to the curve `x=e^(t)cos t, y=e^(t) sin t` at `t=(pi)/(4)` makes an angle ………… with positive side of X - axis.

A

0

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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 angle to the given by x = e ^(theta) cos theta, y = e ^(theta) sin theta at theta = ( pi)/(4) makes an angle with X-axis is___

The angle made by the tangent with the + ve direction of X-axis to x=e^(t)cos t, y = e^(t)sin t at t=(pi)/(4) 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 …………

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

A curve is represented parametrically by the equations x=e^(t)cost andy=e^(t) sin t, where t is a parameter. Then, If F(t)=int(x+y)dt, then the value of F((pi)/(2))-F(0) is

If x=e^(-t^(2)), y=tan^(-1)(2t+1) , then (dy)/(dx)=

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) .

A curve is represented parametrically by the equations x=t+e^(at) and y=-t+e^(at) when t in R and a > 0. If the curve touches the axis of x at the point A, then the coordinates of the point A are

Find first derivation of y w.r.t. x. (i) y=x^(2) sin x , (ii) y=4(e^(x))cos x

Find the equations of the tangent to the given curves at the indicated points: x= cos t , y =sin t at t = (pi)/(4)

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. Equation of line passing through a point (1, 4) and the sum of the int...

    Text Solution

    |

  2. p(x)=a(0)+a(1)x^(2)+a(2)x^(4)+…………+a(n)x^(2n) is a polynomial with rea...

    Text Solution

    |

  3. A tangent drawn to the curve x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4)...

    Text Solution

    |

  4. The approximate value of sin^(-1)(0.51) is ………..

    Text Solution

    |

  5. A stone is thrown in upward direction. Its equation is S=80 t-16 t^(2)...

    Text Solution

    |

  6. If there is an error 4% in the area of circle, then the error in radiu...

    Text Solution

    |

  7. An iron ball having 10 cm radius is covered equally with Ice. Ice is m...

    Text Solution

    |

  8. If x is a real number then maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+...

    Text Solution

    |

  9. The diagonal of a suare is increasing at the rate of 0.5 cm/sec. when ...

    Text Solution

    |

  10. If the curves ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 are orthogonally t...

    Text Solution

    |

  11. The tangent to the cureve xy+ax+by=0 at (1, 1) makes an angle with X -...

    Text Solution

    |

  12. The maximum value of 27^(cos(2x))xx81^(sin(2x)) is …………

    Text Solution

    |

  13. A balloon, which always remains spherical, has a variable diameter (3)...

    Text Solution

    |

  14. The function f (x) is differentiable for every x. f(1)=-2 and f'(x)ge ...

    Text Solution

    |

  15. The side of an equilateral triangle expands at the rate of sqrt(3) cm/...

    Text Solution

    |

  16. The distance s moved by a particle in time t is given by s=t^(3)-6t^(2...

    Text Solution

    |

  17. The volume of a sphere is increasing at the rate of pi cm^(2)//sec. Th...

    Text Solution

    |

  18. There is 4% error in measuring the period of a simple pendulum. The ap...

    Text Solution

    |

  19. The height and radius of a cylinder are equal. An error of 2% is made ...

    Text Solution

    |

  20. The tangent to (at^(2), 2at) is perpendicular to X - axis at

    Text Solution

    |