1
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.
2
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
Out of Syllabus
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
$${{39} \over 5}$$
3
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
Out of Syllabus
A plane passes through the points A(1, 2, 3), B(2, 3, 1) and C(2, 4, 2). If O is the origin and P is (2, $$-$$1, 1), then the projection of $$\overrightarrow {OP}$$ on this plane is of length :
A
$$\sqrt {{2 \over 7}}$$
B
$$\sqrt {{2 \over 5}}$$
C
$$\sqrt {{2 \over 3}}$$
D
$$\sqrt {{2 \over 11}}$$
4
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
The equation of the line through the point (0, 1, 2) and perpendicular to the line

$${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over { - 2}}$$ is :
A
$${x \over 3} = {{y - 1} \over { - 4}} = {{z - 2} \over 3}$$
B
$${x \over 3} = {{y - 1} \over 4} = {{z - 2} \over { - 3}}$$
C
$${x \over { - 3}} = {{y - 1} \over 4} = {{z - 2} \over 3}$$
D
$${x \over 3} = {{y - 1} \over 4} = {{z - 2} \over 3}$$
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