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JEE Main Math Class 12 Three Dimensional Geometry Part 3 Questions
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© examsnet.com
Question : 1
Total: 134
Let the point, on the line passing through the points
P
(
1
,
−
2
,
3
)
and
Q
(
5
,
−
4
,
7
)
, farther from the origin and at a distance of 9 units from the point
P
, be
(
α
,
β
,
γ
)
. Then
α
2
+
β
2
+
γ
2
is equal to :
[4 Apr 2024 Shift 1]
155
150
160
165
Validate
Solution:
👈: Video Solution
PQ line
x
−
1
4
=
y
+
2
−
2
=
z
−
3
4
pt
(
4
t
+
1
,
−
2
t
−
2
,
4
t
+
3
)
distance
2
=
16
t
2
+
4
t
2
+
16
t
2
=
81
t
=
±
3
2
pt
(
7
,
−
5
,
9
)
α
2
+
β
2
+
γ
2
=
155
option (1)
© examsnet.com
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