1
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
If the mirror image of the point (1, 3, 5) with respect to the plane

4x $$-$$ 5y + 2z = 8 is ($$\alpha$$, $$\beta$$, $$\gamma$$), then 5($$\alpha$$ + $$\beta$$ + $$\gamma$$) equals :
A
39
B
41
C
47
D
43
2
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
Let L be a line obtained from the intersection of two planes x + 2y + z = 6 and y + 2z = 4. If point P($$\alpha$$, $$\beta$$, $$\gamma$$) is the foot of perpendicular from (3, 2, 1) on L, then the
value of 21($$\alpha$$ + $$\beta$$ + $$\gamma$$) equals :
A
102
B
142
C
136
D
68
3
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
Consider the three planes

P1 : 3x + 15y + 21z = 9,

P2 : x $$-$$ 3y $$-$$ z = 5, and

P3 : 2x + 10y + 14z = 5

Then, which one of the following is true?
A
P1 and P2 are parallel.
B
P1, P2 and P3 all are parallel.
C
P1 and P3 are parallel.
D
P2 and P3 are parallel.
4
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
If (1, 5, 35), (7, 5, 5), (1, $$\lambda$$, 7) and (2$$\lambda$$, 1, 2) are coplanar, then the sum of all possible values of $$\lambda$$ is :
A
$$- {{44} \over 5}$$
B
$$- {{39} \over 5}$$
C
$${{44} \over 5}$$
D
$${{39} \over 5}$$
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