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JEE Main Math Class 12 Three Dimensional Geometry Part 3 Questions
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© examsnet.com
Question : 20
Total: 134
The square of the distance of the image of the point
(
6
,
1
,
5
)
in the line
x
−
1
3
=
y
2
=
z
−
2
4
, from the origin is ______.
[9 Apr 2024 Shift 2]
Your Answer:
Validate
Solution:
👈: Video Solution
Let
M
(
3
λ
+
1
,
2
λ
,
4
λ
+
2
)
→
AM
⋅
→
b
=
0
⇒
9
λ
−
15
+
4
λ
−
2
+
16
λ
−
12
=
0
⇒
29
λ
=
29
⇒
λ
=
1
M
(
4
,
2
,
6
)
,
I
=
(
2
,
3
,
7
)
Required Distance
=
√
4
+
9
+
49
=
√
62
Ans. 62
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