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

makes a constant angle with x-axis

B

is at a constant distance from the origin

C

passes through the origin

D

satisfies all the three conditions

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|25 Videos

  • TANGENTS AND NORMALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|49 Videos

  • SOLUTIONS OF TRIANGLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|20 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|20 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.

OBJECTIVE RD SHARMA ENGLISH-TANGENTS AND NORMALS-Exercise
  1. If the area of the triangle included between the axes and any tangent ...

    Text Solution

    |

  2. Show that the curves x=y^2a n dx y=k cut at right angles, if 8k^2=1

    Text Solution

    |

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

    Text Solution

    |

  4. The equation of the tangent to the curve x=t cos t, y =t sin t at the...

    Text Solution

    |

  5. The equation of the normal to the curve y^(4)=ax^(3) at (a, a) is

    Text Solution

    |

  6. The angle between the curves y^2 =4x+4 and y^2 =36(9−x) is?

    Text Solution

    |

  7. The equation of the tangent to the curve y =x^(4) from the point (2,0...

    Text Solution

    |

  8. The point on the curve sqrt(x) + sqrt(y) = sqrt(a), the normal at whic...

    Text Solution

    |

  9. The length of the Sub tangent at (2,2) to the curve x^5 = 2y^4 is

    Text Solution

    |

  10. The angle between the curves y=sin x and y = cos x, 0 lt x lt (pi)/(2)...

    Text Solution

    |

  11. The line, which is parallel to X-axis and crosses the curve y = sqrtx ...

    Text Solution

    |

  12. A normal is drawn to parabola y^2=4ax at any point other than the vert...

    Text Solution

    |

  13. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  14. Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...

    Text Solution

    |

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

    Text Solution

    |

  16. The point P of the curve y^(2)=2x^(3) such that the tangent at P is p...

    Text Solution

    |

  17. Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...

    Text Solution

    |

  18. The equation of the tangents at the origin to the curve y^2=x^2(1+x) a...

    Text Solution

    |

  19. The coordinates of the points on the curve x=a(theta + sintheta), y=a(...

    Text Solution

    |

  20. The chord joining the points where x= p and x= q on the curve y= ax^2 ...

    Text Solution

    |