1
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
Out of Syllabus
If for a > 0, the feet of perpendiculars from the points A(a, $$-$$2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0 are points C(0, $$-$$a, $$-$$1) and D respectively, then the length of line segment CD is equal to :
A
$$\sqrt {41}$$
B
$$\sqrt {55}$$
C
$$\sqrt {31}$$
D
$$\sqrt {66}$$
2
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
Out of Syllabus
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
3
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
Out of Syllabus
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
4
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
Out of Syllabus
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.
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