Home
Class 12
MATHS
Number of integral points (integral poin...

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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The number of points, having both coordinates are integers, that lie in the interior of the triangle with vertices (0,0), (0,41) and (41, 0) is

The nine point centre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2, 0) is

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 (1)901 (2) 861 (3) 820 (4) 780 .

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: (4)780(3)820 (2) 861 (1) 901

Using integration, find the area of the triangle whose vertices are (1, 0), (4, 0) and (4, 4).

Using integration, find the area of the triangle whose vertices are (-1, 0) (1, 3) and (3, 2).

Using integration, find the area of the triangle ABC whose vertices are A(-1,1), B(0,5) and C(3,2) .

RESONANCE DPP-JEE MAINS-All Questions
  1. Centre of a circle of radius 4sqrt(5) lies on the line y=x and satisfi...

    Text Solution

    |

  2. Three straight lines 2x+11y-5=0, 4x-3y-2=0 and 24x+7y-20=0:

    Text Solution

    |

  3. Number of integral points (integral points means both the co-ordinates...

    Text Solution

    |

  4. The equation of the circle having its centre on the line x+2y-3=0 and...

    Text Solution

    |

  5. A circle is concentric with circle x^2+y^2-2x+4y-20=0 . If perimeter o...

    Text Solution

    |

  6. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

    Text Solution

    |

  7. A square of side ' a ' lies above the x-axis and has one vertex at th...

    Text Solution

    |

  8. Let P a point on the line y=3x and Q lies on 2y+x=2 and the mid-...

    Text Solution

    |

  9. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)...

    Text Solution

    |

  10. The line 2x+3y=12 meets the x-axis at A and the y-axis at B . The line...

    Text Solution

    |

  11. Let L1:3x+4y=1a n dL2=5x-12 y+2=0 be two given lines. Let image of ...

    Text Solution

    |

  12. Area of the triangle formed by the line x+y=3 and angle bisectors of t...

    Text Solution

    |

  13. Locus of centroid of the triangle whose vertices are (acost ,asint),(b...

    Text Solution

    |

  14. If A|(1, 4, 7),( 2, 6, 5),( 3,-1, 2)|a n dB=d i ag(1,2,5) , then trace...

    Text Solution

    |

  15. The value of k so that the equation 12 x^2-10 x y+2y^2+11 x-5y+k=0 rep...

    Text Solution

    |

  16. The interior angle bisector of angle P for the trangle P Q R whose coo...

    Text Solution

    |

  17. A straight line through the point A (-2,-3) cuts the line x+3y=0 and x...

    Text Solution

    |

  18. Let m ,n are integers with 0<n<mdot A is the point (m ,n) on the Carte...

    Text Solution

    |

  19. Let P Q R be a right-angled isosceles triangle, right angled at P(2,1...

    Text Solution

    |

  20. Equation of straight liens joining the origin and points of interse...

    Text Solution

    |