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JEE Main Math Class 12 Three Dimensional Geometry Part 1 Questions
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© examsnet.com
Question : 15
Total: 100
The sum of the intercepts on the coordinate axes of the plane passing through the point (-2,-2,2) and containing the line joining the points (1,-1,2) and (1,1,1) is
[Online April 16, 2018]
12
-8
-4
4
Validate
Solution:
Equation of plane passing through three given points is:
|
x
−
x
1
y
−
y
1
z
−
z
1
x
2
−
x
1
y
2
−
y
1
z
2
−
z
1
x
3
−
x
1
y
3
−
y
1
z
3
−
z
1
|
=
0
⇒
|
x
+
2
y
+
2
z
−
2
1
+
2
−
1
+
2
2
−
2
1
+
2
1
+
2
1
−
2
|
=
0
⇒
|
x
+
2
y
+
2
z
−
2
3
1
0
3
3
−
1
|
=
0
⇒
−
x
+
3
y
+
6
z
−
8
=
0
⇒
x
8
−
3
y
8
−
6
z
8
+
8
8
=
0
⇒
x
8
−
y
8
3
−
z
8
6
=
−
1
⇒
x
−
8
+
y
8
3
+
z
8
6
=
1
∴
Sum of intercepts
=
−
8
+
8
3
+
8
6
=
−
4
© examsnet.com
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