Home
Class 11
MATHS
The points on the hyperbola x^(2)-y^(2)=...

The points on the hyperbola `x^(2)-y^(2)=2` closest the point (0,1) are

A

`(+-(3)/(2),(1)/(2))`

B

`((1)/(2),+-(3)/(2))`

C

`((1)/(2),(1)/(2))`

D

`(+-(3)/(4),+-(3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS|6 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (INTERGER TYPE QUESTIONS)|3 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

The sum and product of the slopes of the tangents to the hyperbola 2x^(2) -3y^(2) =6 drawn form the point (-1,1) are

The sum and product of the slopes of the tangents to the hyperbola x^(2)/4-y^(2)/2=1 drawn from the point (3,-2) are

The point on the curve x^2=2y which is closest to the point (0,5) is

Tangents are drawn from points on the hyperbola x^(2)/9-y^(2)/4=1 to the circle x^(2)+y^(2)=9 . Then show that the locus of the mid point of the chord of contact is (x^(2)+y^(2))^(2)=81 (x^(2)/9-y^(2)/4)

The product of lengths of the perpendiculars from the point of the hyperbola x^(2)-y^(2)=8 to its asymptotes is

The product of lenghts of perpendicular from any point on the hyperbola x^(2) - y^(2) = 16 to its asymptotes, is

Find the equation of tangent to the hyperbola (x^(2))/(3)-(y^(2))/(2)=1 drawn from the point (3, 2)

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -II) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The lateral edge of a regular hexagonal pyramid is '1' cm. If the volu...

    Text Solution

    |

  2. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  3. A rectangle of the greatest area is inscribed in a trapezium ABCD , on...

    Text Solution

    |

  4. The three sides of a trapezium are equal , each being 8 cm . The area...

    Text Solution

    |

  5. A wire of length 'a' is cut into two parts which are bent in the form ...

    Text Solution

    |

  6. A box , constructed from a rectangular metal sheet , is 21 cm by 16 cm...

    Text Solution

    |

  7. Find the area of equitateral triangle formed by (a,1), (1,b), (0,0) wh...

    Text Solution

    |

  8. If all the rectangles of a given perimeter 2P , the one having the sm...

    Text Solution

    |

  9. The maximum hight of the curve y=6cosx-8sinx above the x-axis

    Text Solution

    |

  10. The longest distance of the point (a,0) from the curve 2x^2+y^2=2x is

    Text Solution

    |

  11. The longest distance of the point (a,0) from the curve 2x^2+y^2=2x is

    Text Solution

    |

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

    Text Solution

    |

  13. The points on the hyperbola x^(2)-y^(2)=2 closest the point (0,1) are

    Text Solution

    |

  14. The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...

    Text Solution

    |

  15. The sides of the rectangle of greatest area that can be inscribed in t...

    Text Solution

    |

  16. The point on the curve y=x/(1+x^2) where the tangent to the curve has ...

    Text Solution

    |

  17. The longest distance of the point (a,0) from the curve 2x^(2)+y2-2x=0 ...

    Text Solution

    |

  18. The minimum distance from the origin to a point on the curve x^(2//3) ...

    Text Solution

    |

  19. A straight line passes through the fixed point [1/k,1/k]. The sum of ...

    Text Solution

    |

  20. A (0,a) ,B(0,b) be fixed points , P(x,0) a variable point. The angle a...

    Text Solution

    |