Old Exam Papers June 2012 (Set 2)

dk dsUnz Kkr dhft;s ,oa bl dsUnz ls xqtjus okys v{kksa
ds lkis{k 'kkado dk lehdj.k Kkr dhft;sA
(b) Find the centre and equation of circle passing through
points b1 , 0, 0gb , 0, 2, 0g
and b0 , 0, 3g.
fcUnq b1 , 0, 0gb , 0, 2, 0g
,oa b0 , 0, 3g
ls tkus okys o`Ùk
dk dsUnz ,oa lehdj.k Kkr dhft;sA
2. (a) Find the equation of sphere which passes through
2 2 2
the point b , , g
and circle x y a , z 0.
2 2 fcUnq b , , g
vkSj o`Ùk x y
2
a , z 0 ls gksdj
xqtjus okys xksys dk lehdj.k Kkr dhft;sA
(b) Find the polar line of the line
x 1 y 2 z 3
2 3 4
2 2 2
with respect to sphere x y z 16 .
2 2 2
xksys x y z 16 ds lkis{k js[kk
x 1 y 2 z 3
2 3 4
dh /kqozh; js[kk Kkr dhft;sA
600 2 MT-03
B 13 27 6
C 35 20 15
D 18 30 20
10. Solve the following transportation problem for least cost :
Plant Customer Availability
C 1 C 2 C 3 C 4 C 5
A 4 1 3 4 4 60
B 2 3 2 2 3 35
C 3 5 2 4 4 40
Required 22 45 20 18 30 135
U;wure ykxr ds fy, fuEu ifjogu leL;k dks gy dhft;s %
la;a= miHkksäk miyC/krk
C 1 C 2 C 3 C 4 C 5
A 4 1 3 4 4 60
B 2 3 2 2 3 35
C 3 5 2 4 4 40
ek¡x 22 45 20 18 30 135
MT-03 7 600