1
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
Let the acute angle bisector of the two planes x $$-$$ 2y $$-$$ 2z + 1 = 0 and 2x $$-$$ 3y $$-$$ 6z + 1 = 0 be the plane P. Then which of the following points lies on P?
A
$$\left( {3,1, - {1 \over 2}} \right)$$
B
$$\left( { - 2,0, - {1 \over 2}} \right)$$
C
(0, 2, $$-$$4)
D
(4, 0, $$-$$2)
2
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
The distance of line $$3y - 2z - 1 = 0 = 3x - z + 4$$ from the point (2, $$-$$1, 6) is :
A
$$\sqrt {26}$$
B
$$2\sqrt 5$$
C
$$2\sqrt 6$$
D
$$4\sqrt 2$$
3
JEE Main 2021 (Online) 31st August Evening Shift
+4
-1
The distance of the point ($$-$$1, 2, $$-$$2) from the line of intersection of the planes 2x + 3y + 2z = 0 and x $$-$$ 2y + z = 0 is :
A
$${1 \over {\sqrt 2 }}$$
B
$${5 \over 2}$$
C
$${{\sqrt {42} } \over 2}$$
D
$${{\sqrt {34} } \over 2}$$
4
JEE Main 2021 (Online) 31st August Morning Shift
+4
-1
Let the equation of the plane, that passes through the point (1, 4, $$-$$3) and contains the line of intersection of the
planes 3x $$-$$ 2y + 4z $$-$$ 7 = 0
and x + 5y $$-$$ 2z + 9 = 0, be
$$\alpha$$x + $$\beta$$y + $$\gamma$$z + 3 = 0, then $$\alpha$$ + $$\beta$$ + $$\gamma$$ is equal to :
A
$$-$$23
B
$$-$$15
C
23
D
15
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