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1
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
$${a \over {a'}} + {c \over {c'}} = 1$$
2
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
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The plane $$x+2y-z=4$$ cuts the sphere $${x^2} + {y^2} + {z^2} - x + z - 2 = 0$$ in a circle of radius
A
$$3$$
B
$$1$$
C
$$2$$
D
$${\sqrt 2 }$$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
The angle between the lines $$2x=3y=-z$$ and $$6x=-y=-4z$$ is :
A
$${0^ \circ }$$
B
$${90^ \circ }$$
C
$${45^ \circ }$$
D
$${30^ \circ }$$
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