Home
Class 12
MATHS
The angle made by any tangent to the cur...

The angle made by any tangent to the curve `x=a(t+sintcost) , y=(1+sint)^2` with `x`-axis is:

A

`1/4(pi+2t)`

B

`(1-sin t)/(cost)`

C

`1/4(2t-pi)`

D

`(1+sint)/(cos 2t)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Multiple)|17 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Comprehension)|13 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.8|9 Videos
  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

The angle made by any tangent to the curve x=a(t+sin t cos t),y=(1+sin t)^(2) with x- axis is:

The angle made by the tangent of the curve x=a(t+sin t cos 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)

The angle made by the tangent to the curve x=a(theta + sin theta cos theta),y=a(1+ sin theta)^(2) wutg X-axis is

Write the angle made by the tangent to the curve x=e^tcott , y=e^tsint at t=pi/4 with the x-axis.

Angle made by the tangent to the curve y=x^(2)+4x-17 at (2,-5) , with the X-axis , is

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

The equation of tangent to the curve x=(1)/(t), y=t-(1)/(t) at t=2 is

Find the area erea angle which made by the tangent to the curve y(2a-x)=x^(2) at point (a,a) its normal and x-axis.

Find the equation of the tangent and the normal at the point 't' on the curve x=a(t+sint), y=a(1-cost)

CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
  1. The number of tangents to the curve x^(3/2)+y^(3/2)=2a^(3/2),a >0, whi...

    Text Solution

    |

  2. The angle made by any tangent to the curve x=a(t+sintcost) , y=(1+sint...

    Text Solution

    |

  3. If m is the slope of a tangent to the curve e^y=1+x^2, then |m|>1 (b)...

    Text Solution

    |

  4. If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined...

    Text Solution

    |

  5. The slope of the tangent to the curve y=sqrt(4-x^2) at the point where...

    Text Solution

    |

  6. The curve given by x+y=e^(x y) has a tangent parallel to the y-a xi s ...

    Text Solution

    |

  7. Find value of c such that line joining the points (0, 3) and (5, -2) b...

    Text Solution

    |

  8. A differentiable function y= f(x) satisfies f'(x)=(f (x))^2+5 and f (0...

    Text Solution

    |

  9. The distance between the origin and the tangent to the curve y=e^(2x)+...

    Text Solution

    |

  10. The point on the curve 3y = 6x-5x^3 the normal at Which passes throug...

    Text Solution

    |

  11. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

    Text Solution

    |

  12. At what point of curve y=2/3x^3+1/2x^2, the tangent makes equal angle ...

    Text Solution

    |

  13. The equation of tangent to the curve y=b^(-x//a) at the point where it...

    Text Solution

    |

  14. Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/...

    Text Solution

    |

  15. A function y = f(x) has a second-order derivative f''(x) =6(x-1). If i...

    Text Solution

    |

  16. x+y-ln(x+y)=2x+5 has a vertical tangent at the point (alpha,beta) the...

    Text Solution

    |

  17. A curve is difined parametrically by x=e^(sqrtt),y=3t-log(e)(t^(2)), w...

    Text Solution

    |

  18. If x+4y=14 is a normal to the curve y^2=alphax^3-beta at (2,3), then t...

    Text Solution

    |

  19. In the corve represented parametrically by the equations x=2ln cott+1 ...

    Text Solution

    |

  20. The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tan...

    Text Solution

    |