Home
Class 12
MATHS
For the curve x = e^(t) cos t, y = e^(t)...

For the curve `x = e^(t) cos t, y = e^(t) sin t` the tangent line is parallel to x-axis when t is equal to

A

`-(pi)/(4)`

B

`(pi)/(4)`

C

0

D

`(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Answer the following question)|39 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Solution To Exercise 7.10|20 Videos
  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

Similar Questions

Explore conceptually related problems

Prove that: y=int_(1/8)^(sin^2x)sin^(-1)sqrt(t)dt+int_(1/8)^(cos^2x)cos^(-1)sqrt(t) ,where 0lt=xlt=pi/2 , is the equation of a straight line parallel to the x-axis. Find the equation.

Prove that the segment of the normal to the curve x= 2a sin t + a sin t cos^2 t ; y = - a cos^3 t contained between the co-ordinate axes is equal to 2a.

The angle made by the tangent of the curve x=a(t+si n tcos t),y=a(1+sin t)^2 with the x-axis at any point on it is (A) 1/4(pi+2t) (B) (1-sin t)/(cos t) (C) 1/4(2t-pi) (D) (1+sin t)/(cos2t)

If x<0,t h e ntan^(-1)x is equal to

If x =a ( cos t + t sin t), y = a [sin t-t cos t] then find dy/dx .

If g(x,y) = 3x^(2) - 5y + 2y^(2), x(t) =e^(t) and y(t) = cos t , then (dg)/(dt) is equal to

The area bounded by the curve x = a cos^3t,, y = a sin^3t, is :

The area bounded by the curves y=x e^x ,y=x e^(-x) and the line x=1 is 2/e s qdotu n i t s (b) 1-2/e s qdotu n i t s 1/e s qdotu n i t s (d) 1-1/e s qdotu n i t s

If x = a cos t is the displacement in time t then, acceleration is :

PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Choose the correct answer)
  1. The equation of the tangent to the curve y = (x^(3))/(5) " at " (-1, -...

    Text Solution

    |

  2. Which of the following is concave down:

    Text Solution

    |

  3. If f(a) = 2, f'(a) = 1, g(a) = -1, g' (a) = 2. Then underset(x rarr a)...

    Text Solution

    |

  4. The velocity v of a particle moving along a straight line when at a di...

    Text Solution

    |

  5. The value of c in Lagrange's mean value theorem for the function f(x) ...

    Text Solution

    |

  6. The function f(x) = x^(2) is decreasing in

    Text Solution

    |

  7. y = -e^(x) is

    Text Solution

    |

  8. If f has a local extremum at a and if f'(a) exists then

    Text Solution

    |

  9. A spherical snowball is melting in such a way that its volume is decre...

    Text Solution

    |

  10. f(x) = sqrtx, a = 1, b = 4 find c in Lagrange's mean value theorm:

    Text Solution

    |

  11. The point of curve y= 2x^(2) - 6x -4 at which the tangent is paral...

    Text Solution

    |

  12. The curve y = 3e^(x) and y = (a)/(3) e^(-x) intersect orthogonally if ...

    Text Solution

    |

  13. f'(x) = x^(2) - 5x + 4 then f(x) is decreasing in

    Text Solution

    |

  14. If the normal to the curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle t...

    Text Solution

    |

  15. For the curve x = e^(t) cos t, y = e^(t) sin t the tangent line is par...

    Text Solution

    |

  16. If y= 6x - x^(3) and x increases at the rate of 5 units/sec the rate o...

    Text Solution

    |

  17. If the length of the diagonal of a square is increasing at the rate of...

    Text Solution

    |

  18. The equation of the normal to the curve theta = (1)/(t) " at " (-3, (-...

    Text Solution

    |

  19. The point of inflection of the curve y = x^(4) is at:

    Text Solution

    |

  20. The angle between the curve y = e^(mx) and y = e^(-mx) m gt 1 is

    Text Solution

    |