Home
Class 11
MATHS
The number of points P(x, y) with natura...

The number of points P(x, y) with natural numbers as coordinates that lie inside the quadrilateral formed by the lines `2x+y=2, x=0, y=0 and x+y=5` is

A

12

B

10

C

6

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III Problems on point of intersection of lines and concurrency of lines) (LEVEL- II More than One correct answer Type Qeustions)|2 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III Problems on point of intersection of lines and concurrency of lines) (LEVEL- II Integer Type Questions)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II Problems on normal form, symmetric from, perpendicular distances and Ratio) (LEVEL - II Integer Type Questions)|2 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

The figure formed by the lines 2x+5y+4=0, 5x+2y+7=0, 2x+5y+3=0 and 5x+2y+6=0 is

Area of the triangle formed by the lines 2x-y-5=0, x-5y+11=0, x+y-1=0 is

Find the circumcentre of the triangle formed by the lines x+y=0, 2x+y+5=0 and x-y=2

The area of the triangle formed by the lines 2x+y-4=0, 3x+2y-5=0, x+y+1=0 is

Orthocentre of triangle formed by the lines x^(2)-xy-x+y=0 and 2x-y+4=0 is

The figure formed by the lines 2x-5y+4=0, 5x+2y+7=0, 2x-5y+3=0, 5x+2y-6=0 is

AAKASH SERIES-STRAIGHT LINES-PRACTICE SHEET (EXERCISE-III Problems on point of intersection of lines and concurrency of lines) (LEVEL- I Straight Objective Type Question)
  1. The line x-y-2=0, x+y-5=0 and x+3y=6 meet in the common point

    Text Solution

    |

  2. The point on the line 3x+4y-5 which is equidistant from (1,2) and (3,4...

    Text Solution

    |

  3. The number of points P(x, y) with natural numbers as coordinates that ...

    Text Solution

    |

  4. If a,b,c are the sides of Delta ABC and the lines ax+by+c=0, bx+cy+a=...

    Text Solution

    |

  5. If lines x+2y-1=0, ax+y+3=0, and bx-y+2=0 are concurrent, and S is the...

    Text Solution

    |

  6. If a,b,c are the p^(th),q^(th),r^(th) terms in H.P. then |{:(bc,p,1),(...

    Text Solution

    |

  7. The equation of the line passing through the point of intersection of ...

    Text Solution

    |

  8. If a,b,c are the three consecutive odd numbers then the line ax-by+c=0...

    Text Solution

    |

  9. The straight lines 4ax+3by+c=0, where a+b+c=0, are concurrent at the p...

    Text Solution

    |

  10. The point of concurrence of the lines (a+2b)x+(a-b)y+(a+5b)=0 is

    Text Solution

    |

  11. If a^2+b^2-c^2-2ab, then the point of concurrency of family of straigh...

    Text Solution

    |

  12. If 4a^2+9b^2c^2+12ab=0 then the family of straight lines ax+by+c=0 is ...

    Text Solution

    |

  13. If the line x=a+m, y=-2 and y=mx are concurrent, then least value of a...

    Text Solution

    |

  14. If the X line y=m,x , r = 1,2,3 cut off equal intercepts on transvers...

    Text Solution

    |

  15. The line parallel to the x-xis and passing through the intersection of...

    Text Solution

    |

  16. Line (1+lambda)x+(4-lambda)y+(2+lambda)=0 and (4-lambda)x-(1+lambda)y+...

    Text Solution

    |

  17. If the line a1x+b1y=1,a2x+b2y=1,a3x+b3y=1 are concurrent then the...

    Text Solution

    |

  18. Given a family of lines a (2x+y+4) +b(x-2y-3)=0. The number of line be...

    Text Solution

    |

  19. The line x+y=1 meets the lines represented by equation y^2-6cy^2+11x^2...

    Text Solution

    |

  20. Consider the points A(0,1) and B (2,0) and P be a point on the line 4x...

    Text Solution

    |