Home
Class 12
MATHS
Prove that the maximum number of points ...

Prove that the maximum number of points with rational coordinates on a circle whose center is `(sqrt(3),0)` is two.

A

one

B

two

C

four

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Exercise|132 Videos
  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

Find maximum number of points having integer coordinates which can be on a circle with centre at (sqrt(3),sqrt(2)) is

Find the maximum number of points of intersection of 6circles.

The maximum number of points of intersection of 8 circles is

Find the maximum number of points of intersection of 6 circles.

Maximum number of tangents drawn from a point on the circle is :

Le n be the number of points having rational coordinates equidistant from the point (0,sqrt(3)) the

OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. If the points A(2, 5) and B are symmetrical about the tangent to the c...

    Text Solution

    |

  2. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

    Text Solution

    |

  3. Prove that the maximum number of points with rational coordinates on a...

    Text Solution

    |

  4. The equation of a circle C is x^(2)+y^(2)-6x-8y-11=0. The number of re...

    Text Solution

    |

  5. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

    Text Solution

    |

  6. The number of points on the circle 2(x^(2)+y^(2))=3x which are at a di...

    Text Solution

    |

  7. A ray of light incident at the point (-2, -1) gets reflected from the ...

    Text Solution

    |

  8. The point on the straight line y = 2x + 11 which is nearest to the cir...

    Text Solution

    |

  9. Extremities of a diagonal of a rectangle are (0, 0) and (4, 3). The eq...

    Text Solution

    |

  10. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

    Text Solution

    |

  11. The angle of intersection of the circles x^(2)+y^(2)=4 and x^(2)+y^(2...

    Text Solution

    |

  12. The normal at the point (3, 4) on a circle cuts the circle at the poin...

    Text Solution

    |

  13. The inverse point of (1, -1) with respect to x^(2)+y^(2)=4, is

    Text Solution

    |

  14. A variable circle passes through the fixed point (2, 0) and touches y-...

    Text Solution

    |

  15. The radius of the circle r^(2)-2sqrt(2r) (cos theta + sin theta)-5=0, ...

    Text Solution

    |

  16. A straight line of length 9 units slides with ends A, B always on x an...

    Text Solution

    |

  17. The radius of the larger circle lying in the first quadrant and touchi...

    Text Solution

    |

  18. A line is at a distance 'c' from origin and meets axes in A and B. The...

    Text Solution

    |

  19. The number of circles that touch all the straight lines x+y-4=0, x-y+2...

    Text Solution

    |

  20. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |