Home
Class 12
MATHS
The equation of the normal to the curve ...

The equation of the normal to the curve `x=a(theta-sintheta),y=a(1-costheta)` at `(theta=pi//2)` is

A

`2x-2y+4a-pia=0`

B

`2x+2y-pia=0`

C

`2x+2y+pia=0`

D

`2x+2y-4a-pia=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (RATE OF CHANGE)|78 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (APPROXIMATIONS AND ERRORS)|67 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The slope of the normal to the curve x=a(theta-sintheta),y=a(1 -costheta) at theta=pi//2 is

Find the equations of tangent and normal to the curve x=a( theta- sin theta), y=a(1 -cos theta)" at "theta=pi//2

The equation of the normal to the curve y=x+1/x at (1,2) is

The length of subtangent to x=a(theta+sintheta),y=a(1-costheta) at theta is

The equation of the normal to the curve 2y=3-x^2 at (1,1) is

Find the slope of the normal to the curve x=1 -a sin theta , y = b cos^(2) theta at theta= (pi)/(2) .

The coordinates of the point P on the curve x=a(theta+sintheta),y=a(1-costheta) where the tangent is inclined at angle pi/4 to the x-axis, are

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The equation of the normal to the curve (x/a)^4+(y/b)^4=2 at (a,b) is

    Text Solution

    |

  2. The equation of the normal to the curve (x/a)^(2//3)+(y/b)^(2//3)=1 at...

    Text Solution

    |

  3. The equation of the normal to the curve x=a(theta-sintheta),y=a(1-cost...

    Text Solution

    |

  4. The normal to the curve x=a(1+costheta),y=asintheta at 'theta' always ...

    Text Solution

    |

  5. The normal to he curve x=a(costheta+thetasintheta),y=a(sintheta-thetac...

    Text Solution

    |

  6. If the equation of the tangent at (2,3) on the curve y=ax^2+b is y=4x-...

    Text Solution

    |

  7. Ify=4x-5 is a tangent to the curve y^2=px^3+q at(2,3), then

    Text Solution

    |

  8. The angle made by the tangent at any point of the curve x=a(t+sintcost...

    Text Solution

    |

  9. The angle which the tangent at (2,1) to the curve x^3+y^3=9 with the x...

    Text Solution

    |

  10. If the tangent to the curve xy+ax+by=0 at (1,1) is inclined at an angl...

    Text Solution

    |

  11. If the line ax + by + c = 0 is a normal to the curve xy = 1 then

    Text Solution

    |

  12. The coordinates of the point P on the curve x=a(theta+sintheta),y=a(1-...

    Text Solution

    |

  13. Points at which the tangents to the hyperbola y=(x-1)/(x+1) are parlle...

    Text Solution

    |

  14. The point on the curve y=x^2+5, the tangent at which is perpendicular ...

    Text Solution

    |

  15. The curvey-e^(xy)+x=0 has a vertical tangent at the point

    Text Solution

    |

  16. The point on the curve y=x^3+x-2, the tangent at which is parallel to ...

    Text Solution

    |

  17. The line x//a+y//b=1 is a tangent to curve y=be^(-x//a) at the point

    Text Solution

    |

  18. The points on the curve y=x^3, the tangent at which are inclined at an...

    Text Solution

    |

  19. The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel...

    Text Solution

    |

  20. The point on the curve x^4-4x^3+4x^2+1 at which the tangent is paralle...

    Text Solution

    |