1
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
On which of the following lines lies the point of intersection of the line,   $${{x - 4} \over 2} = {{y - 5} \over 2} = {{z - 3} \over 1}$$  and the plane, x + y + z = 2 ?
A
$${{x - 4} \over 1} = {{y - 5} \over 1} = {{z - 5} \over { - 1}}$$
B
$${{x - 2} \over 2} = {{y - 3} \over 2} = {{z + 3} \over 3}$$
C
$${{x - 1} \over 1} = {{y - 3} \over 2} = {{z + 4} \over { - 5}}$$
D
$${{x + 3} \over 3} = {{4 - y} \over 3} = {{z + 1} \over { - 2}}$$
2
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
The plane which bisects the line segment joining the points (–3, –3, 4) and (3, 7, 6) at right angles, passes through which one of the following points ?
A
(2, 1, 3)
B
(4, $$-$$ 1, 2)
C
(4, 1, $$-$$ 2)
D
($$-$$ 2, 3, 5)
3
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
The plane passing through the point (4, –1, 2) and parallel to the lines  $${{x + 2} \over 3} = {{y - 2} \over { - 1}} = {{z + 1} \over 2}$$  and  $${{x - 2} \over 1} = {{y - 3} \over 2} = {{z - 4} \over 3}$$ also passes through the point -
A
(1, 1, $$-$$ 1)
B
(1, 1, 1)
C
($$-$$ 1, $$-$$ 1, $$-$$1)
D
($$-$$ 1, $$-$$ 1, 1)
4
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
Let A be a point on the line $$\overrightarrow r = \left( {1 - 3\mu } \right)\widehat i + \left( {\mu - 1} \right)\widehat j + \left( {2 + 5\mu } \right)\widehat k$$ and B(3, 2, 6) be a point in the space. Then the value of $$\mu$$ for which the vector $$\overrightarrow {AB}$$  is parallel to the plane x $$-$$ 4y + 3z = 1 is -
A
$${1 \over 8}$$
B
$${1 \over 2}$$
C
$${1 \over 4}$$
D
$$-$$ $${1 \over 4}$$
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