1
JEE Main 2020 (Online) 2nd September Evening Slot
+4
-1
A plane passing through the point (3, 1, 1) contains two lines whose direction ratios are 1, –2, 2 and 2, 3, –1 respectively. If this plane also passes through the point ($$\alpha$$, –3, 5), then $$\alpha$$ is equal to:
A
-10
B
10
C
5
D
-5
2
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
The plane passing through the points (1, 2, 1),
(2, 1, 2) and parallel to the line, 2x = 3y, z = 1
also passes through the point :
A
(0, 6, –2)
B
(–2, 0, 1)
C
(0, –6, 2)
D
(2, 0 –1)
3
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
The mirror image of the point (1, 2, 3) in a plane is

$$\left( { - {7 \over 3}, - {4 \over 3}, - {1 \over 3}} \right)$$. Which of the following points lies on this plane ?
A
(1, –1, 1)
B
(–1, –1, –1)
C
(–1, –1, 1)
D
(1, 1, 1)
4
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
The shortest distance between the lines

$${{x - 3} \over 3} = {{y - 8} \over { - 1}} = {{z - 3} \over 1}$$ and

$${{x + 3} \over { - 3}} = {{y + 7} \over 2} = {{z - 6} \over 4}$$ is
A
3
B
$${7 \over 2}\sqrt {30}$$
C
$$3\sqrt {30}$$
D
$$2\sqrt {30}$$
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