Page 198 - Math Grade 12 (Advance)

PROEUS DARA

rur:Jug: G'Hlrunonnr; Q Hfi'Uti o: &t:!ruonnr; Q ii!Hsintl'Uti o: finnfi
f..j G'l Cl 1 6\J 1 C1i 6V

tt:tlti5D = ~1~h~ &'t:!ru P dlGllijmsighyti sh h m1G9~nn~ihrn'fsyt1 '1

Mf:riiD: C~1:1j5ncrllijms4Qhyt1 ax+by+cz+d = 0 (a;.:O) &R(li12J y = 0 Sh
I U
z = 0 tSHtRO'lStuihm ax+d = 0 sl§1Q'1Scrru1G (- ~. 0, o) Mntsinh'Ub
U I a " "l GV
ax+ by+ cz + d = 0 '1

0 tO QlO l""r4 I
Wtmtif!il: ~nG'Hlti5t1Gru1G Q(l, 5, -4) t::r1'lih o: : 3x-y+2z = 6 '1
U o- I 6V
rui!m: tt:nrutu~mmti o:: 3x-y+2z = 6 t21gnf5hms1r;9~nn~ffirn
IN GU I
h = (3, -1, 2) ttflti5t~~'i~ncrnnmsinh'i5b ni5h§1 y = 0 sh z = 0 tSlaruhms
eJ 1 et 6\1 u
I
M~fil~ 3x = 6 s12J x = 2 '1

t:!msg tRQ'lScrnflG P(2, 0, 0) tsinb'Ub o: t?lQ'lS
U I c; <V
I
~
PQ = (1 - 2, 5-0, -4- 0)

= (-1, 5, -4)
m~tj ~'i59 truhQ'lSG~ti5ncrllijG Q t94yti o: ?i

D = I?Q-hl = 1(-1, 5, -4)·(3, -1, 2)1
ihi J9 +I -f-4
- 1- 3 - 5 - 81 - 16
- -- '1
./14 ./14
m~1'9M'U~tG'Hlruncrnnm94'Uti truh~fmfinnfiG'Hlrunonnr; Q(x , y , z ) t94'Uti
Li n et 1 "" et 1 0 0 0 sv
~
....., ja(x- x ) + b(y- y ) + c(z- Zo)l ~ 1
0
0
o: : ax+ by+ cz + d = 0 t J;J d15 D = !.----=---;::::::=====-----=:.....: .., 1 "\J
2 2
Ji+b +c
D = jax 0 + by 0 + cz 0 + dj
J 2 2 2
a +b +c

o: 2 : 6x-2y+4z+4 = 0

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