Home
Class 12
MATHS
Point on curve x^(2)-y^(2) +16 =0, neare...

Point on curve `x^(2)-y^(2) +16 =0,` nearest to `(6,0) ` is

A

`(0,-4)`

B

`(0,4)`

C

`(5,3)`

D

`(3,5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)|19 Videos

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

The point on the curve 2x^(2) + 3y^(2) = 6 which is nearest to the line x + y = 3 is _________ .

Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0 .

If M(x_(0), y_(0)) is the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0 then the value of (x_(0)+y_(0)) is equal to

Find the points on the curve 3x^(2)-4y^(2)=72 which is nearest t the line 3x+2y+1=0.

The point on the parabola x^(2)=y which is nearest to (3,0) is

If the point on the curve y ^(2) = 6x, nearest to the point ( 3, (3)/(2)) is ( alpha, beta) then 2 ( alpha + beta) is equal to _________.

Coordinates of points on curve 5x^(2) - 6xy +5y^(2) - 4 = 0 which are nearest to origin are

Determine the points on the curve x^(2)=4y which are nearest to the point (0,5).

Determine the points on the curve x^(2)=4y which are nearest to the point (0,5).

The point on the curve x^(2)=2y which is nearest to the point (0,5) is (A) which is nearest to the point (0,5) is (A)(2sqrt(2),4)(2sqrt(2),0)(C)(0,0)(D)(2,2)

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. Point on curve x^(2)-y^(2) +16 =0, nearest to (6,0) is

    Text Solution

    |

  2. If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...

    Text Solution

    |

  3. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  4. A stone thrown vertically upwards rises S ft in t seconds where S =11...

    Text Solution

    |

  5. If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is

    Text Solution

    |

  6. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

    Text Solution

    |

  7. A stone is dropped into a quiet pond and waves spread in the form of c...

    Text Solution

    |

  8. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

    Text Solution

    |

  9. Each side of an equilateral triangle increases at a uniform rate of 0....

    Text Solution

    |

  10. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

    Text Solution

    |

  13. A ladder 10 m long leans against a house. When its foot is 6 m from th...

    Text Solution

    |

  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

    Text Solution

    |

  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

    Text Solution

    |

  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

    Text Solution

    |

  17. If a wire of length l, with error delta l, is bent into an equilatera...

    Text Solution

    |

  18. if radius of a sphere is r with error delta r , and S is its surface ...

    Text Solution

    |

  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

    Text Solution

    |

  20. A point P moves along the curve y=x^(3). If its abscissa is increasing...

    Text Solution

    |