Home
Class 12
MATHS
Two sides of a rhombus are along the lin...

Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If its diagonals intersect at (-1, -2), then which one of the following is a vertex of this rhombus?

A

`(-3,-9)`

B

`(-3,-8)`

C

`(1/3,-8/3)`

D

`(-(10)/(3),-(7)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Main Archive (State true or false: Q. 16 to 18)|3 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive|42 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

Similar Questions

Explore conceptually related problems

Two sides of a parallelogram are along the lines x+y=3 and x=y+3. If its diagonals intersect at (2, 4) , then one of its vertices is

Two sides of a Rhombus ABCD are parallel to the lines x-y=5 and 7x-y=3 . The diagonals intersect at (2,1) then the equations of the diagonals are

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (a) (8/5,(16)/5) (b) (7/(15),(14)/(15)) (c) (6/5,(12)/5) (d) (4/(15),8/(15))

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (8/5,(16)/5) (b) (7/(15),(14)/(15)) (6/5,(12)/5) (d) (4/(15),8/(15))

Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its area?

Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its area?

Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its area?

Two sides of a rhombus ABCD are parallel to the lines y = x + 2 and y = 7x + 3 If the diagonals of the rhombus intersect at the point (1, 2) and the vertex A is on the y-axis, then vertex A can be

Two sides of a rhombus ABCD are parallel to the lines y = x + 2 and y = 7x + 3 If the diagonals of the rhombus intersect at the point (1, 2) and the vertex A is on the y-axis, then vertex A can be

Two sides of a rhombus ABCD are parallel to the lines y = x + 2 and y = 7x + 3 If the diagonals of the rhombus intersect at the point (1, 2) and the vertex A is on the y-axis, then vertex A can be a. (0,3) b. (0,5/2) c. (0,0) d. (0,6)

VMC MODULES ENGLISH-STRAIGHT LINES-JEE Main Archive
  1. about to only mathematics

    Text Solution

    |

  2. The points (-a,-b), (0,0). (a,b) and (a^(2),ab)) are

    Text Solution

    |

  3. y=10^x is the reflection of y=log(10) x in the line whose equation is

    Text Solution

    |

  4. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

    Text Solution

    |

  5. The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtu...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. Given the four lines with the equations x+2y-3=0, 3x+4y-7=0, 2x+3y...

    Text Solution

    |

  8. The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...

    Text Solution

    |

  9. Let the orthocentre and centroid of a triangle be A(-3,5) and B(3,3) ,...

    Text Solution

    |

  10. The straight line through a fixed point (2,3) intersects the coordinat...

    Text Solution

    |

  11. In a triangle ABC, if A is (1, 2) and the equations of the medians thr...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. The fooot of the perpendicular on the line 3x+y=lambda drawn from the ...

    Text Solution

    |

  14. Let k be an integer such that the triangle with vertices (k ,-3k),(5...

    Text Solution

    |

  15. A square of each side 2, lies above the x-axis and has one vertex at t...

    Text Solution

    |

  16. Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...

    Text Solution

    |

  17. If a variable line drawn through the intersection of the lines x/3+y/4...

    Text Solution

    |

  18. The point (2,1) is translated parallel to the line L: x-y=4 by 2sqrt(...

    Text Solution

    |

  19. A straight line through origin O meets the lines 3y=10-4x and 8x+6y+5...

    Text Solution

    |

  20. A ray of light is incident along a line which meets another line, 7x-y...

    Text Solution

    |