The sides of a rhombus 
are parallel to the lines 
and 
. If the diagonals of the rhombus intersect at 
and the vertex 
(different from the origin) is on the 
-axis, then the ordinate of 
is 
. The value of 
, is
Text Solution
Verified by ExpertsThe correct answer is:
A
Let 
on the 
-axis and opposite vertex
, then mid-point of 
is 
.
and 
and 
Sides of rhombus are parallel to the lines
Equation of lines parallel to diagonal is given by
So, the slope of 
is 
or 2 .
Slope of 
Slope of 
or 2
or 2
or 0
Ordinate of 
Hence, 
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