1
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
An angle between the lines whose direction cosines are gien by the equations,
$$l$$ + 3m + 5n = 0 and 5$$l$$m $$-$$ 2mn + 6n$$l$$ = 0, is :
A
$${\cos ^{ - 1}}\left( {{1 \over 3}} \right)$$
B
$${\cos ^{ - 1}}\left( {{1 \over 4}} \right)$$
C
$${\cos ^{ - 1}}\left( {{1 \over 6}} \right)$$
D
$${\cos ^{ - 1}}\left( {{1 \over 8}} \right)$$
2
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
Out of Syllabus
A plane bisects the line segment joining the points (1, 2, 3) and ($$-$$ 3, 4, 5) at rigt angles. Then this plane also passes through the point :
A
($$-$$ 3, 2, 1)
B
(3, 2, 1)
C
($$-$$ 1, 2, 3)
D
(1, 2, $$-$$ 3)
3
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
Out of Syllabus
A variable plane passes through a fixed point (3,2,1) and meets x, y and z axes at A, B and C respectively. A plane is drawn parallel to yz -plane through A, a second plane is drawn parallel zx-plane through B and a third plane is drawn parallel to xy-plane through C. Then the locus of the point of intersection of these three planes, is :
A
$${x \over 3} + {y \over 2} + {z \over 1} = 1$$
B
x + y + z = 6
C
$${1 \over x} + {1 \over y} + {1 \over z} = {{11} \over 6}$$
D
$${3 \over x} + {2 \over y} + {1 \over z} = 1$$
4
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
Out of Syllabus
An angle between the plane, x + y + z = 5 and the line of intersection of the planes, 3x + 4y + z $$-$$ 1 = 0 and 5x + 8y + 2z + 14 =0, is :
A
$${\sin ^{ - 1}}\left( {\sqrt {{\raise0.5ex\hbox{\scriptstyle 3} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle {17}}}} } \right)$$
B
$${\cos ^{ - 1}}\left( {\sqrt {{\raise0.5ex\hbox{\scriptstyle 3} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle {17}}}} } \right)$$
C
$${\cos ^{ - 1}}\left( {{\raise0.5ex\hbox{\scriptstyle 3} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle {17}}}} \right)$$
D
$${\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{\scriptstyle 3} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle {17}}}} \right)$$
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