Home
Class 12
MATHS
The normal to the curve : x=a(cos thet...

The normal to the curve :
`x=a(cos theta+theta sin theta), y = a (sin theta-theta cos theta)`
at any point `'theta'` is such that:

A

it makes angle `pi/2 + theta` with the x-axis

B

it passes through the origin

C

it is at constant distance from the origin

D

it passes through `((a pi)/2, -a)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

The slope of the normal to the curve : x=a(cos theta+theta sin theta), y =a(sin theta-theta sin theta) at any point 'theta' is :

If x = a(cos theta + theta sin theta), y = a (sintheta - theta cos theta), dy/dx =

x = a (cos theta + theta sin theta), y = a (sin theta - theta cos theta) . then find dy/dx

If x = a(cos theta + theta sin theta), y = a (sin theta - theta cos theta), (dy)/(dx) =

x = a cos theta, y = b sin theta .

If x = a (cos theta + theta sin theta), y = a(sin theta - theta cos theta) then (d^(2)y)/(dx^(2)) =

If x = theta cos theta + sin theta, y = cos theta- theta sin theta , then dy/dx at theta = pi/2

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

The slope of the nomal to the curve x = a(theta - sin theta), y = a(1-cos theta) at theta = pi/2 is

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. A function y = f(x) has a second order derivative f''(x) =6(x-1). If i...

    Text Solution

    |

  2. The normal to the curve x = a (1+cos theta), y = a sin theta at theta ...

    Text Solution

    |

  3. The normal to the curve : x=a(cos theta+theta sin theta), y = a (sin...

    Text Solution

    |

  4. Angle between the tangents to the curve y=x^(2)-5x+6 at the points (2,...

    Text Solution

    |

  5. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  6. A point an the parabola y^(2)=18x at which the ordinate increases at t...

    Text Solution

    |

  7. The area of the triangle formed by the co-ordinate axes and a tangent ...

    Text Solution

    |

  8. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

    Text Solution

    |

  9. If the parametric equation of a curve is given by x = e^(t) cos t, y =...

    Text Solution

    |

  10. If y = 4x-5 is a tangent to the curve y^(2) = ax^(3)+b at (2,3) then

    Text Solution

    |

  11. The triangle formed by the tangent to the curve f(x)=x^(2)+bx-b at the...

    Text Solution

    |

  12. If the normal to the curve y = f(x) at the point (3, 4) makes an angle...

    Text Solution

    |

  13. If x+y=k is normal to y^(2)=12x, then k is :

    Text Solution

    |

  14. The point(s) on the curve y^(3)+3x^(2)=12y, where the tangent is verti...

    Text Solution

    |

  15. The line 2x+sqrt(6)y=2 is a tangent to the curve x^(2)-2y^(2)=4. The p...

    Text Solution

    |

  16. The angle between the curves y = sinx and y = cos x is

    Text Solution

    |

  17. If theta is the angle between the curves xy = 2 and x^(2)+4y = 0 then ...

    Text Solution

    |

  18. The angle between the curves x^(2) = 4y, y^(2) = 4x at (4,4) is

    Text Solution

    |

  19. The curves x = y^(2) and xy = a^(3) cut orthogonally at a point, then ...

    Text Solution

    |

  20. The equation of the tangent to the curve y = x^(3)-2x+1 at the point (...

    Text Solution

    |