Home
Class 12
MATHS
The normal to the curve x=a(1+cos theta...

The normal to the curve `x=a(1+cos theta), y=a sin theta " at " 'theta ' ` always passes through the fixed point

A

(a, a)

B

(0, a)

C

(0, 0)

D

(a, 0)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

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

Show that the normal to the curve x=3cos theta-cos^(3)theta,y=3sin theta-sin^(3)theta at theta=(pi)/(4) passes through the origin.

The equation of normal to the curve x= a cos^(3) theta, y=a sin^(3) theta" at "theta=(pi)/(4) is

Find the equation of the normal to the curve x=a cos theta and y=b sin theta at theta

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

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

The equation of normal at any point o to the curve x=a cos theta+a sin theta,y=a sin theta-a cos theta is always at a distance of

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. The normal to the curve x=a(1+cos theta), y=a sin theta " at " 'theta...

    Text Solution

    |

  2. The chord joining the points (5, 5) and (11, 227) on the curve y = 3x^...

    Text Solution

    |

  3. The line (x)/(a)+(y)/(b)=2 touches the curve ((x)/(a))^(n)+((y)/(b))^(...

    Text Solution

    |

  4. What is the slope of the normal at the point ("at"^(2), "2 at") of the...

    Text Solution

    |

  5. If the line, ax+ by + c = 0 is a normal to the curve xy =2

    Text Solution

    |

  6. The area of the triangle formed by normal at the point (1, 0) on the c...

    Text Solution

    |

  7. If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined...

    Text Solution

    |

  8. The slope of the tangent to the curve y = 3x^(2) - 5x + 6 at (1, 4) is

    Text Solution

    |

  9. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...

    Text Solution

    |

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

    Text Solution

    |

  11. What is the x coordinate of the point on the curve f(x)=sqrt(x)(7x-6) ...

    Text Solution

    |

  12. The slope of the tangent to the curves x=3t^2+1,y=t^2-1 at t=1 is

    Text Solution

    |

  13. Find the distance between the point (1, 1) and the tangent to the curv...

    Text Solution

    |

  14. If OT is the perpendicular drawn from the origin to the tangent at any...

    Text Solution

    |

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

    Text Solution

    |

  16. The angle at which the curve y=ke^(kx) intersects Y-axis is

    Text Solution

    |

  17. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

    Text Solution

    |

  18. If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x inters...

    Text Solution

    |

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

    Text Solution

    |

  20. Show the condition that the curves a x^2+b y^2=1 and a^(prime)x^2+b^(p...

    Text Solution

    |