Home
Class 12
MATHS
If point P(x,y) is called a lattice poin...

If point `P(x,y)` is called a lattice point if `x, y in I.` Then the total number of lattice points in the interior of the circle `x^2 + y^2 =a^2, a != 0` can not be:

A

202

B

203

C

204

D

205

Text Solution

Verified by Experts

The correct Answer is:
`:.` Number of such points must be of the form 4n+1, where n=0,1,2,…..
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

If point P(x,y) is called a lattice point if x,y in I. The interior af the circle points in the interior of the circle x^(2)+y^(2)=a^(2),a!=0 can not be:

P(x,y) is called a natural point if x, y in N . The total number of points lying inside the quadrilateral formed by the lines 2x+y = 2 , x = 0 , y = 0 and x+y=5 is

The number of points with integral coordinates that are interior to the circle x^(2)+y^(2)=16 , is

The point (1,2) lies inside the circle x^(2)+y^(2)-2x+6y+1=0 .

Find the point of contact of the tangent x+y-7=0 to the circle x^2+y^2-4x-6y+11=0

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If point P(x,y) is called a lattice point if x, y in I. Then the total...

    Text Solution

    |

  2. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |

  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  4. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  5. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

    Text Solution

    |

  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

    Text Solution

    |

  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  9. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

    Text Solution

    |

  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  11. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |