1
JEE Advanced 2013 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A line $$l$$ passing through the origin is perpendicular to the lines $$$\,{l_1}:\left( {3 + t} \right)\widehat i + \left( { - 1 + 2t} \right)\widehat j + \left( {4 + 2t} \right)\widehat k,\,\,\,\,\, - \infty < t < \infty $$$ $$${l_2}:\left( {3 + 2s} \right)\widehat i + \left( {3 + 2s} \right)\widehat j + \left( {2 + s} \right)\widehat k,\,\,\,\,\, - \infty < s < \infty $$$
Then, the coordinate(s) of the points(s) on $${l_2}$$ at a distance of $$\sqrt {17} $$ from the point of intersection of $$l$$ and $${l_1}$$ is (are)
A
$$\left( {{7 \over 3},{7 \over 3},{5 \over 3}} \right)$$
B
$$\left( { - 1, - 1,0} \right)$$
C
$$\left( {1,1,1} \right)$$
D
$$\left( {{7 \over 9},{7 \over 9},{8 \over 9}} \right)$$
2
IIT-JEE 2012 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
If the straight lines $$\,{{x - 1} \over 2} = {{y + 1} \over k} = {z \over 2}$$ and $${{x + 1} \over 5} = {{y + 1} \over 2} = {z \over k}$$ are coplanar, then the plane (s) containing these two lines is (are)
A
$$y+2z=-1$$
B
$$y+z=-1$$
C
$$y-z=-1$$
D
$$y-2z=-1$$
3
IIT-JEE 2011 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
The vector (s) which is/are coplanar with vectors $${\widehat i + \widehat j + 2\widehat k}$$ and $${\widehat i + 2\widehat j + \widehat k,}$$ and perpendicular to the vector $${\widehat i + \widehat j + \widehat k}$$ is/are
A
$$\widehat j - \widehat k$$
B
$$-\widehat i + \widehat j$$
C
$$\widehat i - \widehat j$$
D
$$-\widehat j + \widehat k$$
4
IIT-JEE 2006
MCQ (More than One Correct Answer)
+5
-1.25
Let $${\overrightarrow A }$$ be vector parallel to line of intersection of planes $${P_1}$$ and $${P_2}.$$ Planes $${P_1}$$ is parallel to the vectors $$2\widehat j + 3\widehat k$$ and $$4\widehat j - 3\widehat k$$ and that $${P_2}$$ is parallel to $$\widehat j - \widehat k$$ and $$3\widehat i + 3\widehat j,$$ then the angle between vector $${\overrightarrow A }$$ and a given vector $$2\widehat i + \widehat j - 2\widehat k$$ is
A
$${\pi \over 2}$$
B
$${\pi \over 4}$$
C
$${\pi \over 6}$$
D
$${3\pi \over 4}$$
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