Home
Class 12
MATHS
The point on the curve y= sqrt(x-1) ...

The point on the curve ` y= sqrt(x-1)` where the tangent is perpendicular to the line `2x+y-5=0` is

A

(2,-1)

B

(10, 3)

C

(2,1)

D

(5,-2)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

The points on the curve y=sqrt(x-3) , where the tangent is perpendicular to the line 6x+3y-5=0 are

Find the points on the curve y=sqrt(x-3) , where the tangent is perpendicular to the line 6x+3y-5=0 .

Find the points on the curve 4x^2+9y^2=1 , where the tangents are perpendicular to the line 2y+x=0

The point on the curve y=3x^(2)+2x+5 at which the tangent is perpendicular to the line x+2y+3=0

Find the points on the curve 4x^(2)+9y^(2)=1 where the tangents are perpendicular to the line 2y+x=0 .

The fixed point P on the curve y=x^(2)-4x+5 such that the tangent at P is perpendicular to the line x+2y-7=0 is given by

The point P of the curve y^(2)=2x^(3) such that the tangent at P is perpendicular to the line 4x-3y +2=0 is given by

Find the coordinates of the point on the curve y=x^(2)3x+2 where the tangent is perpendicular to the straight line y=x

Determine the points on the curve x^(2)+y^(2)=13 , where the tangents are perpendicular to the line 3x-2y=0 .

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. A metal wire of 36 cm long is bent to form a rectangle. Find its dimen...

    Text Solution

    |

  2. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  3. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  4. A rectangle is inscribed in a semicircle of radius 1 unit. If its two ...

    Text Solution

    |

  5. A window is in the form of a rectangle surmounted by a semi-circle....

    Text Solution

    |

  6. A rectangular sheet of paper has the area 24 sq. meters. The margin at...

    Text Solution

    |

  7. If a rectangle of maximum area is inscibed in the ellipse (x^(2))/(a^(...

    Text Solution

    |

  8. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  9. If P is the perimeter and r is the radius of a sector, then the area o...

    Text Solution

    |

  10. From a square cardboard of side 18 cms an open tank is made by cutting...

    Text Solution

    |

  11. From a metal sheet of area 192 sq. cm, a box with square base and open...

    Text Solution

    |

  12. Determine the points on the curve x^2=4y which are nearest to th...

    Text Solution

    |

  13. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |

  14. A right circular cone have slant height 3 cm. Then its volume is maxim...

    Text Solution

    |

  15. The height of the cone of maximum volume inscribed in a sphere of radi...

    Text Solution

    |

  16. An open cylindrical tank whose base is a circle is to be constructed o...

    Text Solution

    |

  17. Find the maximum volume of right circular cylinder, if the sum of its...

    Text Solution

    |

  18. If h is the height and r is the base radius of an open right circular ...

    Text Solution

    |

  19. The point on the curve y= sqrt(x-1) where the tangent is perpen...

    Text Solution

    |

  20. The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...

    Text Solution

    |