Home
Class 11
MATHS
Number of points with integral co-ordina...

Number of points with integral co-ordinates that lie inside a triangle whose co-ordinates are (0, 0), (0, 21) and (21,0).

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the co-ordinates of the orthocentre of a triangle whose vertices are (3,-1) , (-1,2) and (0,0) .

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0) , (0, 41) and (41, 0) is

The point P(alpha,alpha +1) will lie inside the triangle whose vertices are A(0,3), B(-2,0) and C(6,1) if

Find the Cartesian co-ordinates of point whose polar co-ordinates are (4, (pi)/(3)) .

Number of integral points (integral points means both the co-ordinates should be integer) exactly in the interior of the triangle with vertices (0,0),(0, 21) and (21, 0) is

Number of integral points (integral points means both the co-ordinates should be integer) exactly in the interior of the triangle with vertices (0,0),(0, 15) and Or (15, 0) is

Find the co-ordinates of the circumecentre of the triangle ABC, whose vertices A, B and C are (4, 6), (0,4) and (6,2) respectively.

Calculate the co-ordinates of the centroid of the triangle ABC, if A = (7, -2), B = (0, 1) and C = (-1, 4).

Find the co-ordinates of the points of tri section of the line joining the points (-3, 0) and (6, 6).

Find the co-ordinates of the points fo trisection of the line segment joining the points (-2, 0) and (4, 0).

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A B C is an isosceles triangle. If the coordinates of the base are B(1...

    Text Solution

    |

  2. If two vertices of a triangle are (1,3) and (4,-1) and the area of tri...

    Text Solution

    |

  3. Number of points with integral co-ordinates that lie inside a triangle...

    Text Solution

    |

  4. Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...

    Text Solution

    |

  5. The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) ...

    Text Solution

    |

  6. The area of a triangle is 5. Two of its vertices are A(2,1) and B(3...

    Text Solution

    |

  7. Statement 1 : If the vertices of a triangle are having rational coordi...

    Text Solution

    |

  8. If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, th...

    Text Solution

    |

  9. If the point (x1+t(x2-x1),y1+t(y2-y1)) divides the join of (x1,y1) and...

    Text Solution

    |

  10. O P Q R is a square and M ,N are the midpoints of the sides P Q and Q ...

    Text Solution

    |

  11. If sum(i-1)^4(x1^2+y 1^2)lt=2x1x3+2x2x4+2y2y3+2y1y4, the points (x1, y...

    Text Solution

    |

  12. In an acute triangle A B C , if the coordinates of orthocentre H are (...

    Text Solution

    |

  13. Consider the points O(0,0),A(0,1), and B(1,1) in the x-y plane. Suppos...

    Text Solution

    |

  14. If all the vertices of a triangle have integral coordinates, then th...

    Text Solution

    |

  15. The locus of a point represent by x=(a)/(2)((t+1)/(t)),y=(a)/(2)((t-...

    Text Solution

    |

  16. The points A(0,0),B(cosalpha,sinalpha) and C(cosbeta,sinbeta) are the ...

    Text Solution

    |

  17. The ends of a diagonal of a square are (2,-3) and (-1,1)dot Another ve...

    Text Solution

    |

  18. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) form (a) parallelogram (b) rhombu...

    Text Solution

    |

  19. A rectangular billiard table has vertices at P(0,0),Q(0,7),R(10 ,7), ...

    Text Solution

    |

  20. If one side of a rhombus has endpoints (4, 5) and (1, 1), then the ...

    Text Solution

    |