1
WB JEE 2022
+1
-0.25

The equation of the plane through the intersection of the planes x + y + z = 1 and 2x + 3y $$-$$ z + 4 = 0 and parallel to the x-axis is

A
y + 3z + 6 = 0
B
y + 3z $$-$$ 6 = 0
C
y $$-$$ 3z + 6 = 0
D
y $$-$$ 3z $$-$$ 6 = 0
2
WB JEE 2022
+1
-0.25

The line $$x - 2y + 4z + 4 = 0$$, $$x + y + z - 8 = 0$$ intersect the plane $$x - y + 2z + 1 = 0$$ at the point

A
$$( - 2,5,1)$$
B
$$(2, - 5,1)$$
C
$$(2,5, - 1)$$
D
$$(2,5,1)$$
3
WB JEE 2021
+1
-0.25
If from a point P(a, b, c), perpendicular PA and PB are drawn to YZ and ZX-planes respectively, then the equation of the plane OAB is
A
bcx + cay + abz = 0
B
bcx + cay $$-$$ abz = 0
C
bcx $$-$$ cay + abz = 0
D
bcx $$-$$ cay $$-$$ abz = 0
4
WB JEE 2021
+1
-0.25
A line with positive direction cosines passes through the point P(2, $$-$$1, 2) and makes equal angle with co-ordinate axes. The line meets the plane 2x + y + z = 9 at point Q. The length of the line segment PQ equals.
A
1 unit
B
$$\sqrt 2$$ unit
C
$$\sqrt 3$$ unit
D
2 unit
EXAM MAP
Medical
NEET