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JEE Main Math Class 12 Three Dimensional Geometry Part 1 Questions
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© examsnet.com
Question : 5
Total: 100
The plane which bisects the line segment joining the points (– 3, – 3, 4) and (3, 7, 6) at right angles, passes through which one of the following points?
[Jan. 10, 2019 (II)]
(–2, 3, 5)
(4, – 1, 7)
(2, 1, 3)
(4, 1, – 2)
Validate
Solution:
Since, direction ratios of normal to the plane is
→
n
=
6
^
i
+
10
^
j
+
2
^
k
Then, equation of the plane is
(
x
−
0
)
6
+
(
y
−
2
)
10
+
(
z
−
5
)
2
=
0
3
x
+
5
y
−
10
+
z
−
5
=
0
3
x
+
5
y
+
z
=
15
Since, plane (1) satisfies the point (4,1,-2)
Hence, required point is (4,1,-2)
© examsnet.com
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