1
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
Out of Syllabus
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
Out of Syllabus
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
Out of Syllabus
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
Out of Syllabus
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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