1
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
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
2
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
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
$$lx + my \pm z\tan \alpha \sqrt {{l^2} + {m^2}} = 0$$
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The equation of the plane through the point $$(2, - 1, - 3)$$ and parallel to the lines

$${{x - 1} \over 2} = {{y + 2} \over 3} = {z \over { - 4}}$$ and $${x \over 2} = {{y - 1} \over { - 3}} = {{z - 2} \over 2}$$ is
A
$$8x + 14y + 13z + 37 = 0$$
B
$$8x - 14y - 13z - 37 = 0$$
C
$$8x - 14y - 13z + 37 = 0$$
D
$$x + 2y + 2z + 6 = 0$$
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The sine of the angle between the straight line $${{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}$$ and the plane $$2x - 2y + z = 5$$ is
A
$${{2\sqrt 3 } \over 5}$$
B
$${{\sqrt 2 } \over {10}}$$
C
$${4 \over {5\sqrt 2 }}$$
D
$${{\sqrt 5 } \over 6}$$
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