Home
Class 12
MATHS
Two sides of a rhombus ABCD are parallel...

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)

Text Solution

Verified by Experts

The correct Answer is:
`(0,5/2)and(0,0)`
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|16 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 6|12 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 3|19 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

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?

The lines y = mx , y + 2x = 0 , y = 2x + k and y + mx = k form a rhombus if m equals

Find the distance of the line 4x+7y+5 = 0 from the point (1, 2) along the line 2x-y=0.

Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x-y = 0 .

Find the value of p so that the three lines 3x + y - 2 = 0, px + 2y-3 =0 and 2x-y -3 =0 may intersect at one point.

Are the points (2,1) and (-3,5) on the same or opposite side of the line 3x - 2y + 1 = 0 ?

Find the equation of the lines passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0.

The consecutive sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals is 11 x + 7y = 9, find the equation of the other diagonal.

The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point of intersection.

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5 = 0 .