Home
Class 11
MATHS
The point of intersection of the diagona...

The point of intersection of the diagonals of the rhombus formed by the lines `2x+y-5=0, x+2y+8=0, 2x+y+5=0,` and `x+2y-2=0` is

A

(2,-1)

B

(-1,2)

C

(1,-2)

D

(-2,1)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE I|57 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, 5x+2y-6=0 is

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

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

AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+...

    Text Solution

    |

  2. The equation of the straight line passing through the point of interse...

    Text Solution

    |

  3. The point of intersection of the diagonals of the rhombus formed by th...

    Text Solution

    |

  4. Find the equations of the line passing through the point of intersecti...

    Text Solution

    |

  5. The equation of the one passing through the point of intersection of t...

    Text Solution

    |

  6. The lines 2x+y-1=0, ax+3y-3=0, 3x+2y-2=0 are cuncurrent

    Text Solution

    |

  7. If a ne b ne c and if ax+by+c=0, bx+cy+a=0, cx+ay+b=0 are concurrent ...

    Text Solution

    |

  8. If the lines a(1)x+b(1)y=1,a(2)x+b(2)y=1,a(3)x+b(3)y=1, are concurrent...

    Text Solution

    |

  9. If the lines x+ay=a=0, bx+y+b=0, cx+cy+1=0 (a,b,c being distinct and !...

    Text Solution

    |

  10. If theta is the parameter, then the family of lines represented by (2c...

    Text Solution

    |

  11. All the lines whose sum of reciprocals of intercepts is k will be conc...

    Text Solution

    |

  12. Equation of the line belonging to the system 3x+2y-8+lamda(2x-5y+1)=0 ...

    Text Solution

    |

  13. The orthocentre of the triangle formed by (0,0),(5,-1),(-2,3) is

    Text Solution

    |

  14. The orthocentre of the triangle formed by the lines x+y+1=0,x-y-1=0,3x...

    Text Solution

    |

  15. If the straight lines 2x+3y-1=0,x+2y-1=0 and ax+by-1=0 form a triangle...

    Text Solution

    |

  16. The circumcentre of a triangle with vertices (-2, 3), (2, -1), (4, 0)...

    Text Solution

    |

  17. The circumcentre of the triangle formed by the lines x+y=0, x-y=0 and...

    Text Solution

    |

  18. The incentre of the triangle formed by the lines x+y=1,x=1,y=1 is

    Text Solution

    |

  19. The centre of the triangle formed by the lines 4x+3y+10=0,5x-12y+26=0,...

    Text Solution

    |

  20. Two sides of a triangle are y=m(1)x and y=m(2)x,m(1),m(2) are the root...

    Text Solution

    |