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JEE Main Math Class 12 Three Dimensional Geometry Part 3 Questions
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© examsnet.com
Question : 44
Total: 134
If the mirror image of the point
P
(
3
,
4
,
9
)
in the line
x
−
1
3
=
y
+
1
2
=
z
−
2
1
is
(
α
,
β
,
γ
)
, then
14
(
α
+
β
+
γ
)
is :
[1-Feb-2024 Shift 2]
102
138
108
132
Validate
Solution:
👈: Video Solution
→
PN
⋅
→
b
=
0
?
3
(
3
λ
−
2
)
+
2
(
2
λ
−
5
)
+
(
λ
−
7
)
=
0
14
λ
=
23
⇒
λ
=
23
14
N
(
83
14
,
32
14
,
51
14
)
∴
α
+
3
2
=
83
14
⇒
α
=
62
7
β
+
4
2
=
32
14
⇒
β
=
4
7
γ
+
9
2
=
51
14
⇒
γ
=
−
12
7
Ans.
14
(
α
+
β
+
r
)
=
108
© examsnet.com
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