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JEE Advanced 2020 Full Test 7 Paper 1
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© examsnet.com
Question : 49
Total: 54
Let
L
1
:
x
−
6
3
=
y
−
7
−
1
=
z
−
4
1
and
L
2
:
x
−
3
=
y
+
9
2
=
z
−
2
4
.
If
L
1
and
L
2
are skew lines such that
P
and
Q
are two points nearest to each other lying on lines
L
1
and
L
2
respectively. If image of
P
with respect to plane
3
x
+
3
y
−
z
=
11
is
R
(
a
,
b
,
c
)
then
−
a
+
b
+
c
2
is
Your Answer:
Validate
Solution:
Direction ratio of
P
Q
(
−
3
r
2
−
3
r
1
−
6
,
2
r
2
+
r
1
+
6
,
4
r
2
−
r
1
−
2
)
Now,
−
3
(
−
3
r
2
−
3
r
1
−
6
)
+
2
(
2
r
2
+
r
1
−
16
)
+
4
(
4
r
2
−
r
1
−
2
)
=
0
∴
7
r
1
+
29
r
2
=
22
−
−
−
(
1
)
3
(
−
3
r
2
−
3
r
1
−
6
)
−
(
2
r
2
+
r
1
−
16
)
+
(
4
r
2
−
r
1
−
2
)
=
0
7
r
2
+
11
r
1
=
−
4
−
−
−
(
2
)
∴
r
1
=
−
1
,
r
2
=
1
a
=
−
3
,
b
=
2
,
c
=
5
−
a
+
b
+
c
2
=
3
+
2
+
25
=
7.5
© examsnet.com
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