1
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
The length of the perpendicular from the point (2, –1, 4) on the straight line,

$${{x + 3} \over {10}}$$= $${{y - 2} \over {-7}}$$ = $${{z} \over {1}}$$ is :
A
less than 2
B
greater than 4
C
greater than 2 but less than 3
D
greater than 3 but less than 4
2
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
The equation of a plane containing the line of intersection of the planes 2x – y – 4 = 0 and y + 2z – 4 = 0 and passing through the point (1, 1, 0) is :
A
x – 3y – 2z = –2
B
2x – z = 2
C
x – y – z = 0
D
x + 3y + z = 4
3
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
Let S be the set of all real values of $$\lambda$$ such that a plane passing through the points (–$$\lambda$$2, 1, 1), (1, –$$\lambda$$2, 1) and (1, 1, – $$\lambda$$2) also passes through the point (–1, –1, 1). Then S is equal to :
A
{1, $$-$$1}
B
{3, $$-$$ 3}
C
$$\left\{ {\sqrt 3 } \right\}$$
D
$$\left\{ {\sqrt 3 , - \sqrt 3 } \right\}$$
4
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
If an angle between the line, $${{x + 1} \over 2} = {{y - 2} \over 1} = {{z - 3} \over { - 2}}$$ and the plane, $$x - 2y - kz = 3$$ is $${\cos ^{ - 1}}\left( {{{2\sqrt 2 } \over 3}} \right),$$ then a value of k is :
A
$$\sqrt {{3 \over 5}}$$
B
$$- {5 \over 2}$$
C
$$- {3 \over 2}$$
D
$$\sqrt {{5 \over 3}}$$
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