Home
Class 12
MATHS
The length of normal to the curve x=a(th...

The length of normal to the curve `x=a(theta+sintheta),y=a(1-costheta)` at `theta=pi/2` is:

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

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

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the normal to the curve x=1 -a sin theta , y = b cos^(2) theta at theta= (pi)/(2) .

The normal to the curve x=a(costheta+thetasintheta),y=a(sintheta-thetacostheta) at any point theta is such that

Find the slope of the normal to the curve x=a cos^(3) theta,y=a sin^(3) theta at theta=(pi)/(4) .

Find the equation of the tangent and normal to each of the following curves at the specified points : x=a ( theta- sin theta), y=a( 1- cos theta) at theta =pi

FInd the slopes of the tangents and normals to the following curve: x=acos^3theta , y=asin^3theta at theta =pi/4 .

Show that the normal at any point theta to the curve x=a(cos theta+ theta sin theta), y=a( sin theta- theta cos theta) is at a constant distance from the origin.

Find y_2 in each of the following cases: x=a(costheta+thetasintheta),y=a(sintheta-thetacostheta) at theta=pi/4

Find the normal to the curve x=a(1+cos theta),y=a sintheta at theta. Prove that it always passes through a fixed point and find that fixed point.

Find y_2 in each of the following cases: x=a(theta+sintheta) , y=a(1-costheta)

The normal to the curve x= a(1 + cos theta ) , y= a sin theta at the point theta always passes throught the fixed point-

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Does there exists line/lines which is/are tangent to the curve y=sinx ...

    Text Solution

    |

  2. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

    Text Solution

    |

  3. The length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) ...

    Text Solution

    |

  4. Determine p such that the length of the sub-tangent and sub-normal is ...

    Text Solution

    |

  5. If f(x)a n dg(x) are continuous functions in [a , b] and are different...

    Text Solution

    |

  6. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |

  7. On the curve x^3=12y the abscissa changes at a faster rate than the or...

    Text Solution

    |

  8. The length x of a rectangle is decreasing at the rate of 5cm/s and the...

    Text Solution

    |

  9. Find the minimum value of (x1-x2)^2+((x1^2)/20-sqrt((17-x2)(x2-13)))^...

    Text Solution

    |

  10. Displacement s of a particle at time t is expressed as s=1/2t^3-6t. Fi...

    Text Solution

    |

  11. Find the distance of the point on y=x^4+3x^2+2x which is nearest to th...

    Text Solution

    |

  12. The graph y=2x^3-4x+2a n dy=x^3+2x-1 intersect in exactly 3 distinct p...

    Text Solution

    |

  13. The tangent at any point on the curve x=acos^3theta,y=asin^3theta meet...

    Text Solution

    |

  14. Prove that all the point on the curve y=sqrt(x+sinx) at which the tang...

    Text Solution

    |

  15. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  16. A lamp is 50 ft above the ground. A ball is dropped from the same heig...

    Text Solution

    |

  17. Find the possible values of p such that the equation p x^2=(log)e x ha...

    Text Solution

    |

  18. Find the angle between the curves 2y^2=x^3 and y^2=32 x.

    Text Solution

    |

  19. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

    Text Solution

    |

  20. Find the values of a if equation 1-cosx=(sqrt(3))/2|x|+ a ,x in (0,pi...

    Text Solution

    |