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JEE Advanced 2020 Concept Recapitulation Test 2 Paper 2
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© examsnet.com
Question : 50
Total: 54
Two rays of light coming along the lines
y
=
1
and
y
=
−
2
from the positive direction of
x
-axis and strikes a concave mirror whose intersection with the
x
−
y
plane is a parabola
y
2
=
x
at
A
and
B
respectively. The reflected rays pass through a fixed point
C
, then the area of the triangle
A
B
C
is
Your Answer:
Validate
Solution:
Solving
y
=
1
and
y
2
=
x
then
A
=
(
1
,
1
)
and solving
y
=
−
2
and
y
2
=
x
then
B
=
(
4
,
−
2
)
∵
After reflection both reflected rays pass through focus of the parabola
y
2
=
x
i.e.
C
=
(
1
4
,
0
)
© examsnet.com
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