Let
be a triangle such that
and
. Let S be the point on QR, which is equidistant from the lines PQ and PR. If
and
, then the value of
is 
Text Solution
Verified by Experts37
(37)
Given: 
From
……… (1)
Since S is on QR equidistant from lines PQ and
is the angle bisector. So:

Similarly: 
………… (2)
From (1) and (2):
(NTA Answer)
However,
and
are not parallel, so
are not collinear. Also
, which is impossible. Hence no such triangle exists.
So, this should be a bonus question.
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