1
JEE Main 2016 (Offline)
+4
-1
If the line, $${{x - 3} \over 2} = {{y + 2} \over { - 1}} = {{z + 4} \over 3}\,$$ lies in the planes, $$lx+my-z=9,$$ then $${l^2} + {m^2}$$ is equal to :
A
$$5$$
B
$$2$$
C
$$26$$
D
$$18$$
2
JEE Main 2016 (Offline)
+4
-1
The distance of the point $$(1,-5,9)$$ from the plane $$x-y+z=5$$ measured along the line $$x=y=z$$ is :
A
$${{10} \over {\sqrt 3 }}$$
B
$${20 \over 3}$$
C
$$3\sqrt {10}$$
D
$$10\sqrt {3}$$
3
JEE Main 2015 (Offline)
+4
-1
The equation of the plane containing the line $$2x-5y+z=3; x+y+4z=5,$$ and parallel to the plane, $$x+3y+6z=1,$$ is :
A
$$x+3y+6z=7$$
B
$$2x+6y+12z=-13$$
C
$$2x+6y+12z=13$$
D
$$x+3y+6z=-7$$
4
JEE Main 2015 (Offline)
+4
-1
The distance of the point $$(1, 0, 2)$$ from the point of intersection of the line $${{x - 2} \over 3} = {{y + 1} \over 4} = {{z - 2} \over {12}}$$ and the plane $$x - y + z = 16,$$ is
A
$$3\sqrt {21}$$
B
$$13$$
C
$$2\sqrt {14}$$
D
$$8$$
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