Home
Class 12
MATHS
A diagonal of rhombus ABCD is a member o...

A diagonal of rhombus ABCD is a member of both the family of lines `(x + y +1) + lamda_1(2x+3y-2) = 0 and (x - y +2) + lamda_2(2x-3y+5)` where `lamda_1,lamda_2 in" R"` and one of the vertex of the rhombus is (3,2) . If area of the rhombus is `2sqrt5` square units then find the length of semi longer diagonal of the rhombus ..........

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    FIITJEE|Exercise MATCH THE FOLLOWING|3 Videos

  • STATISTICS

    FIITJEE|Exercise Comprehension Type|6 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

Similar Questions

Explore conceptually related problems

A diagonal of rhombus ABCD is member of both the families of lines (x+y-1)+lambda(2x+3y-2)=0 and (x-y+2)+lambda(2x-3y+5)=0 and rhombus is (3,2). If the area of the rhombus is 12sqrt(5) sq.units,then find the remaining vertices of the rhombus.

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

The area of the rhombus ABCD is 24. The equation of the diagonal BD is 4x + 3y + 2=0 and A (3,2) The length of the side of the rhombus is

Consider the family of line (x+y-1)+lamda(2x+3y-5)=0 and (3x+2y-4)+mu(x+2y-6)=0 Equation of a straight line that belongs to both the families is:

The equation of one of the diagonals of a rhombus is 3x + 4y - 7 = 0 . Find the equation of the other diagonal passing through (-1,-2) .

The sides of a rhombus are parallel to y=2x+3 and 2y=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