Old Exam Papers Dec. 2010 - Video

(b) Separate into real and imaginary parts :
tan b? ? i?
g
okLrfod ,oa dkYifud Hkkxksa esa foHkä
dhft;s %
tan b? ? i?
g
2. (a) Show that the relation S on the set R of real numbers,
where ba ,b g? S ? 1 ? ab ? 0 ; a,b ? R is both
reflexive and symmetric.
fl) dhft;s fd okLrfod la[;kvksa ds
leqPp; R ij ifjHkkf"kr lEcU/k S, tgk¡
ba ,b g? S ? 1 ? ab ? 0 ; a,b ? R LorqY; ,oa lefer
gSA
(b) Evaluate :
Lim logb1 ? xg
x ? 0
x
Kkr dhft;s %
Lim logb1 ? xg
x ? 0
x
600 2 BMT
Papers (A) (December) 2010
(323)
fcUnq (5, 9, 3) ls gksdj tkus okyh rFkk ljy js[kk
x ? 1 y ? 2 z ? 3
? ?
2 3 4
lehdj.k Kkr dhft;sA
ds yEcor~ ljy js[kk dk
9. (a) Prove that the vectors a ? b ? 3c , 2a ? b ? 3c
and
a ? b ? 2 c
are coplanar.
fl) dhft;s fd lfn'k a ? b ? 3c , 2a ? b ? 3c
,oa
a ? b ? 2 c leryh; gSA
(b) Find the unit vector perpendicular to the vectors
2i ? 3 j ? 4k
and 3i ? 2 j ? 2k
.
lfn'kksa 2i ? 3 j ? 4k
,oa 3i ? 2 j ? 2k
ds yEcor~
bdkbZ lfn'k Kkr dhft;sA
10. (a) A body of mass 49 kg is falling at the rate of
100 m/sec. What is the uniform force that will stop it
in 2 seconds ?
49 fdxzk lagfr dk ,d fi.M 100 eh-@lS- dh xfr ls
uhps fxjrk gSA og ,dleku cy Kkr dhft;s tks bl
fi.M dks 2 lSds.M esa jksd ldsA
(b) Two particles of masses 15 kg. and 13 kg. are
BMT 7 PTO