1
WB JEE 2020
+1
-0.25
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
$${{\sqrt 5 } \over 6}$$
2
WB JEE 2019
+1
-0.25
The direction ratios of the normal to the plane passing through the points (1, 2, $$-$$3), ($$-$$1, $$-$$2, 1) and parallel to $${{x - 2} \over 2} = {{y + 1} \over 3} = {z \over 4}$$ is
A
(2, 3, 4)
B
(14, $$-$$8, $$-$$1)
C
($$-$$2, 0, $$-$$3)
D
(1, $$-$$2, $$-$$3)
3
WB JEE 2019
+1
-0.25
The equation of the plane, which bisects the line joining the points (1, 2, 3) and (3, 4, 5) at right angles is
A
x + y + z = 0
B
x + y $$-$$ z = 9
C
x + y + z = 9
D
x + y $$-$$ z + 9 = 0
4
WB JEE 2018
+1
-0.25
A point P lies on a line through Q(1, $$-$$2, 3) and is parallel to the line $${x \over 1} = {y \over 4} = {z \over 5}$$. If P lies on the plane 2x + 3y $$-$$ 4z + 22 = 0, then segment PQ equals
A
$$\sqrt {42}$$ units
B
$$\sqrt {32}$$ units
C
4 units
D
5 units
EXAM MAP
Medical
NEET