1
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If $$(2,3,5)$$ is one end of a diameter of the sphere $${x^2} + {y^2} + {z^2} - 6x - 12y - 2z + 20 = 0,$$ then the coordinates of the other end of the diameter are
A
$$(4, 3, 5)$$
B
$$(4, 3, -3)$$
C
$$(4, 9, -3)$$
D
$$(4, -3, 3)$$
2
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Let $$L$$ be the line of intersection of the planes $$2x+3y+z=1$$ and $$x+3y+2z=2.$$ If $$L$$ makes an angle $$\alpha$$ with the positive $$x$$-axis, then cos $$\alpha$$ equals
A
$$1$$
B
$${1 \over {\sqrt 2 }}$$
C
$${1 \over {\sqrt 3 }}$$
D
$${1 \over 2}$$
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The image of the point $$(-1, 3,4)$$ in the plane $$x-2y=0$$ is :
A
$$\left( { - {{17} \over 3}, - {{19} \over 3},4} \right)$$
B
$$(15,11,4)$$
C
$$\left( { - {{17} \over 3}, - {{19} \over 3},1} \right)$$
D
None of these
4
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
The two lines $$x=ay+b, z=cy+d;$$ and $$x=a'y+b' ,$$ $$z=c'y+d'$$ are perpendicular to each other if :
A
$$aa'+cc'=-1$$
B
$$aa'+cc'=1$$
C
$${a \over {a'}} + {c \over {c'}} = - 1$$
D
$${a \over {a'}} + {c \over {c'}} = 1$$
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