Home
Class 12
MATHS
The points on the curve y=x^2+sqrt(1-x^2...

The points on the curve `y=x^2+sqrt(1-x^2)` at which the tangent is perpendicular to x-axis are

A

`(1,1)` only

B

`(+-1,1)`

C

`(1,+-1)`

D

`(-1,1)` only

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 points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpendicular to y-axis is

The point on the curve x^4-4x^3+4x^2+1 at which the tangent is parallel to x-axis is

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

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

Find points on the curve (x^(2))/(9) +(y^(2))/(16) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

Find points on the curve (x^(2))/(4) +(y^(2))/(25) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

The equation of the tangent to the curve y=x^3+3x^2-5 and which is perpendicular to 2x-6y+1=0 is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel...

    Text Solution

    |

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

    Text Solution

    |

  3. The points on the curve y=x^2+sqrt(1-x^2) at which the tangent is perp...

    Text Solution

    |

  4. The points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpe...

    Text Solution

    |

  5. The equation of the tangent to the curve 4x^2+9y^2=40 and having slope...

    Text Solution

    |

  6. The equation of the tangent to the curve 9x^2+16y^2=52 and which is pa...

    Text Solution

    |

  7. The equation of the tangent to the curve x^2+y^2=52 and which is paral...

    Text Solution

    |

  8. The equation of the tangent to the curve y=x+4/x^2, that is parallel t...

    Text Solution

    |

  9. The equation of the tangent to the curve y=x^3+3x^2-5 and which is per...

    Text Solution

    |

  10. The equation of the tangent to the curve y^2=4x+5 and which is paralle...

    Text Solution

    |

  11. The equation of the tangent to the curve x^2+2y=8 and which is perpend...

    Text Solution

    |

  12. The points of contact of the tangents drawn from origin to the curve 3...

    Text Solution

    |

  13. The point of contact of the tangents drawn from origin to the curve y=...

    Text Solution

    |

  14. The equation of the tangent to the curve y(x-2)(x-3)-x+7=0 where the c...

    Text Solution

    |

  15. The equation of the tangent to the curve y=be^(-x//a) where it crosses...

    Text Solution

    |

  16. Equation of the tangent to the curve y=2x^36x^2-9 at the point where t...

    Text Solution

    |

  17. The equation of the tangent to the curve y=(x+9)/(x+5) so that is pass...

    Text Solution

    |

  18. The equation of the normal to the curve y=be^(-x//a) where it cuts y-a...

    Text Solution

    |

  19. The equation of the normal to the curve y=2x^3+6x^2-9 where the curve ...

    Text Solution

    |

  20. The distance between the origin and the normal to the curve y=e^(2x)+x...

    Text Solution

    |