1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
A line makes the same angle $$\theta $$, with each of the $$x$$ and $$z$$ axis.

If the angle $$\beta \,$$, which it makes with y-axis, is such that $$\,{\sin ^2}\beta = 3{\sin ^2}\theta ,$$ then $${\cos ^2}\theta $$ equals :
A
$${2 \over 5}$$
B
$${1 \over 5}$$
C
$${3 \over 5}$$
D
$${2 \over 3}$$
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
If the straight lines
$$x=1+s,y=-3$$$$ - \lambda s,$$ $$z = 1 + \lambda s$$ and $$x = {t \over 2},y = 1 + t,z = 2 - t,$$ with parameters $$s$$ and $$t$$ respectively, are co-planar, then $$\lambda $$ equals :
A
$$0$$
B
$$-1$$
C
$$ - {1 \over 2}$$
D
$$-2$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
A line with direction cosines proportional to $$2,1,2$$ meets each of the lines $$x=y+a=z$$ and $$x+a=2y=2z$$ . The co-ordinates of each of the points of intersection are given by :
A
$$\left( {2a,3a,3a} \right),\left( {2a,a,a} \right)$$
B
$$\left( {3a,2a,3a} \right),\left( {a,a,a} \right)$$
C
$$\left( {3a,2a,3a} \right),\left( {a,a,2a} \right)$$
D
$$\left( {3a,3a,3a} \right),\left( {a,a,a} \right)$$
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Distance between two parallel planes

$$\,2x + y + 2z = 8$$ and $$4x + 2y + 4z + 5 = 0$$ is :
A
$${9 \over 2}$$
B
$${5 \over 2}$$
C
$${7 \over 2}$$
D
$${3 \over 2}$$
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