1
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$\overrightarrow u $$ be a vector coplanar with the vectors $$\overrightarrow a = 2\widehat i + 3\widehat j - \widehat k$$ and $$\overrightarrow b = \widehat j + \widehat k$$. If $$\overrightarrow u $$ is perpendicular to $$\overrightarrow a $$ and $$\overrightarrow u .\overrightarrow b = 24$$, then $${\left| {\overrightarrow u } \right|^2}$$ is equal to
A
336
B
315
C
256
D
84
2
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If L1 is the line of intersection of the planes 2x - 2y + 3z - 2 = 0, x - y + z + 1 = 0 and L2 is the line of intersection of the planes x + 2y - z - 3 = 0, 3x - y + 2z - 1 = 0, then the distance of the origin from the plane, containing the lines L1 and L2, is :
A
$${1 \over {\sqrt 2 }}$$
B
$${1 \over {4\sqrt 2 }}$$
C
$${1 \over {3\sqrt 2 }}$$
D
$${1 \over {2\sqrt 2 }}$$
3
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Tangent and normal are drawn at P(16, 16) on the parabola y2 = 16x, which intersect the axis of the parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and $$\angle $$CPB = $$\theta $$, then a value of tan$$\theta $$ is :
A
$${4 \over 3}$$
B
$${1 \over 2}$$
C
2
D
3
4
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The length of the projection of the line segment joining the points (5, -1, 4) and (4, -1, 3) on the plane, x + y + z = 7 is :
A
$$\sqrt {{2 \over 3}} $$
B
$${2 \over {\sqrt 3 }}$$
C
$${2 \over 3}$$
D
$${1 \over 3}$$
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