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 a constant distance from the origin

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Multiple Choice Questions LEVEL-II|35 Videos

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|13 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 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

MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Recent Competitive Questions (Questions from Karnataka CET & COMED)
  1. The normal to the curve : x=a(cos theta+theta sin theta), y = a (sin...

    Text Solution

    |

  2. P is the point of contact of the tangent from the orign to the c...

    Text Solution

    |

  3. For the curve 4x^(5)=5y^(4), the ratio of the cube of the sub-tangent ...

    Text Solution

    |

  4. The set of real values of x for which f(x)=(x)/(logx) is increasing is...

    Text Solution

    |

  5. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  6. If for the curve y=1+bx-x^(2) the tangent at (1, -2) is parallel to x-...

    Text Solution

    |

  7. The slopes of the tangent and normal at (0, 1) for the curve y=sinx+e^...

    Text Solution

    |

  8. A stone is thrown vertically upwards and the height x ft, reached by ...

    Text Solution

    |

  9. If sin^(-1) a is the acture angle between the curves x^(2) + y^(2) =4x...

    Text Solution

    |

  10. The maximum area of rectangle that can be inscribed in a circle of rad...

    Text Solution

    |

  11. A stone is dropped into a quiet lake and waves in circles at the speed...

    Text Solution

    |

  12. A gardener is digging a plot of land. As he gets tired, he works more ...

    Text Solution

    |

  13. If f(x)=x^(3) and g(x)=x^(3)-4x in -2lt x lt 2, then consider the stat...

    Text Solution

    |

  14. The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with ...

    Text Solution

    |

  15. The maximum value of ((1)/(x))^(2x^(2)) is :

    Text Solution

    |

  16. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  17. The sub tangent at x=(pi)/(2) on the curve y=sin x is :

    Text Solution

    |

  18. A balloon which always remains spherical is being inflated by pump...

    Text Solution

    |

  19. The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^2y - y^(3) = 2

    Text Solution

    |

  20. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |

  21. The slant height of a cone is fixed at 7 cm. If the rate of increase ...

    Text Solution

    |