Home
Class 11
MATHS
The sides of a rhombus are parallel to t...

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))`

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 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))

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

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 x-y=5 and 7x-y=3 . The diagonals intersect at (2,1) then the equations of the diagonals are

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 equation of two adjacent sides of rhombus are given by y=x and y=7x . the diagonals of the rhombus intersect each other at point of (1,2) .then the area of the rhombus is:

Plot the line -3x-5y=15 .

Draw the lines 3x- 5y =15.

A rhombus has two of its sides parallel to the lines y=2x+3 and y=7x+2 . If the diagonals cut at (1, 2) and one vertex is on the y-axis, find the possible values of the coordinate of that vertex.

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Equation(s) of the straight line(s), inclined at 30^(@) to the x-axis ...

    Text Solution

    |

  2. If a pair of perpendicular straight lines drawn through the origin ...

    Text Solution

    |

  3. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0....

    Text Solution

    |

  4. The image of P(a ,b) on the line y=-x is Q and the image of Q on t...

    Text Solution

    |

  5. Consider a DeltaABC whose sides AB, BC and CA are represented by the s...

    Text Solution

    |

  6. The equations of two equal sides A Ba n dA C of an isosceles triangle ...

    Text Solution

    |

  7. Find the area of the triangle formed by the line x+y=3 and the angle b...

    Text Solution

    |

  8. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

    Text Solution

    |

  9. The equation of the lines passing through the point (1,0) and at a dis...

    Text Solution

    |

  10. The number of values of k for which the lines (k+1)x+8y=4k and kx+(k+3...

    Text Solution

    |

  11. For all real values of aa n db , lines (2a+b)x+(a+3b)y+(b-3a)=0 and m ...

    Text Solution

    |

  12. The line x=c cuts the triangle with corners (0,0),(1,1) and (9,1) into...

    Text Solution

    |

  13. The absolute value of the sum of the abscissas of all the points on th...

    Text Solution

    |

  14. The point (x , y) lies on the line 2x+3y=6. The smallest value of the ...

    Text Solution

    |

  15. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  16. One of the diagonals of a square is the portion of the line x/2+y/3=2 ...

    Text Solution

    |

  17. Two sides of a triangle are along the coordinate axes and the medians ...

    Text Solution

    |

  18. The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then ...

    Text Solution

    |

  19. In a triangle A B C ,A=(alpha,beta)B=(2,3),a n dC=(1,3)dot Point A l...

    Text Solution

    |

  20. If the straight lines 2x+3y-1=0,x+2y-1=0,and a x+b y-1=0 form a trian...

    Text Solution

    |