Home
Class 12
MATHS
ABCD is a square Points E(4,3) and F(2,5...

ABCD is a square Points `E(4,3)` and `F(2,5)` lie on AB and CD, respectively,such that EF divides the square in two equal parts. If the coordinates of A are `(7,3)`,then the coordinates of other vertices can be

A

`(7,2)`

B

`(7,5)`

C

`(-1,3)`

D

`(-1,5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Since EF divides the squre in two equal parts, it must pass through the center of the square and center is midpoint of EF. So, center of the sqaure is `(3,4)`.
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Multiple)|13 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Comprehension)|10 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.6|9 Videos

  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos

  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

Two opposite vertices of a square are (0, -2) (2,6) . Find the coordinates of the other vertices.

Two opposite vertices of a square are (-1,2) and (3,2). Find the coordinates of other two vertices.

The two opposite vertices of a square are (-1,2) and (3,2) Find the coordinates of the other two vertices.

The center of a square is at the origin and its one vertex is A(2,1). Find the coordinates of the other vertices of the square.

ABCD is a trapezium, in which AD||BC, E and F are the mid-points of AB and CD respectively, then EF is:

The opposite vertices of a square are (2, 6) and (0, -2). Find the coordinates of the other vertices.

Q.7 The two opposite vertices of a square are (1.-6) and (5,4). Find the coordinates of the other two vertices.

Q.7 The two opposite vertices of a square are (1.-6) and (5,4). Find the coordinates of the other two vertices.

CENGAGE-COORDINATE SYSYEM -Exercise (Single)
  1. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from parallelogram rhombus cyclic...

    Text Solution

    |

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

    Text Solution

    |

  3. ABCD is a square Points E(4,3) and F(2,5) lie on AB and CD, respective...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If a straight line through the origin bisects the line passing through...

    Text Solution

    |

  7. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O ...

    Text Solution

    |

  8. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

    Text Solution

    |

  9. Point A and B are in the first quadrant,point O is the origin. If the ...

    Text Solution

    |

  10. Let a,b,c be in A.P and x,y,z be in G.P.. Then the points (a,x),(b,y) ...

    Text Solution

    |

  11. if Sigma(i=1)^(4)(x(i)^(2)+y(i)^(2))le 2x1x3+2x2x4+2y2y3+2y1y4, the po...

    Text Solution

    |

  12. The vertices A and D of square A B C D lie on the positive sides of x-...

    Text Solution

    |

  13. Through the point P(alpha,beta) , where alphabeta>0, the straight line...

    Text Solution

    |

  14. The locus of the moving point whose coordinates are given by (e^t+e^(-...

    Text Solution

    |

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

    Text Solution

    |

  16. The maximum area of the triangle whose sides a ,b and 5sintheta), and ...

    Text Solution

    |

  17. Vertices of a variable triangle are (3,4); (5costheta, 5sintheta) and ...

    Text Solution

    |

  18. From a point, P perpendicular PM and PN are drawn to x and y axes, res...

    Text Solution

    |

  19. The locus of point of intersection of the lines y+mx=sqrt(a^2m^2+b^2) ...

    Text Solution

    |

  20. If the roots of the equation (x(1)^(2)-a^2)m^2-2x1y1m+y(1)^(2)+b^2=0...

    Text Solution

    |