Home
Class 11
MATHS
The diagonals A C and B D of a rhombus i...

The diagonals `A C` and `B D` of a rhombus intersect at `(5,6)`. If `A=(3,2),` then find the equation of diagonal `BD`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

The diagonals A C and B D of a rhombus intersect at (5,6)dot If A-=(3,2), then find the equation of diagonal B Ddot

In a rhombus ABCD the diagonals AC and BD intersect at the point (3,4) . If the point A is (1,2) the diagonal BD has the equation

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 y=2x+3a n d2y=x+5 . The diagonals of the rhombus intersect at (1, 2). If one vertex of the rhombus lies on the y-axis then possible values of the ordinates of this vertex are 1 (b) 2 (c) 3 (d) 4

If in parallelogram ABDC , the coordinate of A , B and C are respectively (1,2) , (3,4) and (2,5) , then the equation of the diagonal AD is

The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

In the given figure, the diagonals AC and BD of a rectangle ABCD intersect each other at point O. If OA=2x+6 and OD=3x+3, find the value of x.

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)

The vertices of a quadrilateral are A(-2,6),\ B(1,2),\ C(10 ,4)a n d D(7,8) . Find the equations of its diagonals.

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. If the foot of the perpendicular from the origin to a straight line is...

    Text Solution

    |

  2. Two sides of a triangle are parallel to the coordinate axes. If the ...

    Text Solution

    |

  3. The diagonals A C and B D of a rhombus intersect at (5,6). If A=(3,2),...

    Text Solution

    |

  4. A line which makes an acute angle theta with the positive direction of...

    Text Solution

    |

  5. Find the values of non-negative real number h1, h2, h3, k1, k2, k3 suc...

    Text Solution

    |

  6. The sides of a triangle ABC lie on the lines 3x + 4y = 0, 4x +3y =0 a...

    Text Solution

    |

  7. If a and b are two arbitrary constants, then prove that the straight l...

    Text Solution

    |

  8. Statement 1: The incenter of a triangle formed by the lines xcos(pi/...

    Text Solution

    |

  9. If the two sides of rhombus are x+2y+2=0 and 2x+y-3=0, then find the s...

    Text Solution

    |

  10. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

    Text Solution

    |

  11. In triangle A B C , the equation of the right bisectors of the sides A...

    Text Solution

    |

  12. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

    Text Solution

    |

  13. Show that the straight lines given by x(a+2b)+y(a+3b)=a for different ...

    Text Solution

    |

  14. The straight line 3x+4y-12=0 meets the coordinate axes at Aa n dB . ...

    Text Solution

    |

  15. Let a x+b y+c=0 be a variable straight line, whre a , ba n dc are the ...

    Text Solution

    |

  16. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

    Text Solution

    |

  17. Prove that all the lines having the sum of the interceps on the axes e...

    Text Solution

    |

  18. Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . T...

    Text Solution

    |

  19. Find the straight line passing through the point of intersection of ...

    Text Solution

    |

  20. The lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 are the sides of a square. ...

    Text Solution

    |