Home
Class 12
MATHS
Find the euation of normal to the curve ...

Find the euation of normal to the curve ` x=a( cos theta + theta sin theta ) , y=a(sin theta - theta cos theta ) ` at any point `'theta'`

A

it is a constant distance from the origin

B

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

C

it make angle with the X-axis

D

it passes through the origin

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of normal to the curve x=cos theta, y = sin theta" at point "theta = pi/4*

Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^(3) theta" at point "'theta'.

sin^(3)theta + sin theta - sin theta cos^(2)theta =

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

Prove that : (sin 5theta - 2 sin 3theta + sin theta)/(cos 5theta -cos theta) = tan theta

Prove that : (sin 5theta + sin 3theta)/(cos 5theta + cos 3theta) = tan 4theta

Prove that : (sin theta + sin 3theta + sin 5theta)/(cos theta + cos 3theta + cos 5theta) = tan 3theta

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))

(sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Main (Archive)
  1. The normal to a curve at P(x , y) meet the x-axis at Gdot If the ...

    Text Solution

    |

  2. A value of C for which the coclusion of mean value theorem holds for t...

    Text Solution

    |

  3. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

    Text Solution

    |

  4. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  5. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is (...

    Text Solution

    |

  6. A function is matched below against an interval where it is supposed t...

    Text Solution

    |

  7. Find the euation of normal to the curve x=a( cos theta + theta sin th...

    Text Solution

    |

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

    Text Solution

    |

  9. A lizard, at an initial distance of 21 cm behind an insect, moves fro...

    Text Solution

    |

  10. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

    Text Solution

    |

  11. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the normal to the curve x=a(1+cos theta),y=a sinthetaat theta. P...

    Text Solution

    |

  14. The real number x when added to its inverse given the minimum value of...

    Text Solution

    |

  15. If the function f(x)=2x^3-9ax^2+12a^2x+1, where a gt 0, attains its m...

    Text Solution

    |

  16. What is the angle between these two curves x^3-3xy^2+2=0 and 3x^2y-y^3...

    Text Solution

    |

  17. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

  18. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  19. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

    Text Solution

    |

  20. Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...

    Text Solution

    |