Home
Class 11
MATHS
Find the number points (both the coordin...

Find the number points (both the coordinates should be integer) exactly in the interior of the triangle with vertices `(0,0)(0,21)` and `(21,0)`.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with vertices (0,0), (0,21) and (21,0) is

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

Find the incentre of the triangle with vertices (1, sqrt3), (0, 0) and (2, 0)

Orthocentre of the triangle whose vertices are (0,0) (3,4) and (4,0) is-

Find the area of the triangle vertices are (0, 0), (3, 0) and (0, 2)

Find the orthocentre of the triangle whose vertices are (0,0),(3,0), and (0,4)dot

Find the coordinates of centroid of the triangle with vertices: (1, -1), (0, 6) and (-3, 0)

Find the coordinates of centroid of the triangle with vertices: (6, 2), (0, 0) and (4, -7)

By vector method find the area of the triangle whose vertices are (1,1,1) ,(2,0,1) and (3,-2,0)

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the number points (both the coordinates should be integer) exactl...

    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. Find the orthocentre of the triangle whose vertices are (0,0),(3,0)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If the point P[X1+t(X2-X1),y1+t(y2-y1] divides AB internally where (X1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The locus of a point reprersented by x=a/2((t+1)/t),y=a/2((t-1)/t) , w...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

    Text Solution

    |