The line 
meets the 
and 
-axes at 
and 
, respectively. A 
is inscribed in the 
, 
being the origin, with right angled at 
and 
lie respectively on 
and 
. If the area of the 
is 
of the area of 
, then 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
D
Let 
, then the coordinates of 
are
Slope of 
Now, equation of 
is
So, the coordinates of 
are 
.
and 
Therefore, the area of 
Area of 
According to the question,
If 
lies outside the segment 
and hence the required value of 
.
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