1
JEE Main 2021 (Online) 27th August Morning Shift
+4
-1
Out of Syllabus
The distance of the point (1, $$-$$2, 3) from the plane x $$-$$ y + z = 5 measured parallel to a line, whose direction ratios are 2, 3, $$-$$6 is :
A
3
B
5
C
2
D
1
2
JEE Main 2021 (Online) 27th August Morning Shift
+4
-1
Out of Syllabus
Equation of a plane at a distance $$\sqrt {{2 \over {21}}}$$ from the origin, which contains the line of intersection of the planes x $$-$$ y $$-$$ z $$-$$ 1 = 0 and 2x + y $$-$$ 3z + 4 = 0, is :
A
$$3x - y - 5z + 2 = 0$$
B
$$3x - 4z + 3 = 0$$
C
$$- x + 2y + 2z - 3 = 0$$
D
$$4x - y - 5z + 2 = 0$$
3
JEE Main 2021 (Online) 26th August Evening Shift
+4
-1
Out of Syllabus
Let P be the plane passing through the point (1, 2, 3) and the line of intersection of the planes $$\overrightarrow r \,.\,\left( {\widehat i + \widehat j + 4\widehat k} \right) = 16$$ and $$\overrightarrow r \,.\,\left( { - \widehat i + \widehat j + \widehat k} \right) = 6$$. Then which of the following points does NOT lie on P?
A
(3, 3, 2)
B
(6, $$-$$6, 2)
C
(4, 2, 2)
D
($$-$$8, 8, 6)
4
JEE Main 2021 (Online) 26th August Morning Shift
+4
-1
Out of Syllabus
A plane P contains the line $$x + 2y + 3z + 1 = 0 = x - y - z - 6$$, and is perpendicular to the plane $$- 2x + y + z + 8 = 0$$. Then which of the following points lies on P?
A
($$-$$1, 1, 2)
B
(0, 1, 1)
C
(1, 0, 1)
D
(2, $$-$$1, 1)
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