1
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
$$(2,5,1)$$
2
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
3
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
4
WB JEE 2021
+2
-0.5
The plane lx + my = 0 is rotated about its line of intersection with the plane z = 0 through an angle $$\alpha$$. The equation changes to
A
$$lx + my \pm \tan \alpha \sqrt {{l^2} + {m^2}} = 0$$
B
$$lx + my \pm z\tan \alpha \sqrt {{l^2} + {m^2} + 1} = 0$$
C
$$lx + my \pm z\tan \alpha \sqrt {{l^2} + 1} = 0$$
D
$$lx + my \pm z\tan \alpha \sqrt {{l^2} + {m^2}} = 0$$
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