Page 201 - Math Grade 12 (Advance)
P. 201
PROEUS DARA
c u'\;flli5~t1t!Grup:; P(xl, Yt· Zt) sb Q(xz, Yz· Zz) r;siQbnhn~
I
2 2 2
d = J (xz-Xl) +(yz-Yt) +(z2-zl) '1
2 2 2
0 nri:hm~tir::htSf~~Si C(x , y , z ) nl r ~ :(x-x /+(y-y ) +(z-z ) = r '1
0
0
0
0
0
0
"" rrl" "- 2 2 2 2 2 2 2
0 hl'i:Hil~~tl:f'ItSt~: x +y +z -2x x-2y y-2z z+k = 0, k = x +y +z -r '1
0
0
0
0
0
0
u'i:flrurhhWlu Q t94'i5ti a ttlrunMu Q {5sr:sinb'i5ti a RM~r:r::hru
0
<:I 1 6\.1 1 c; G\.1
I
D = IP"Q.hl 'i5 D = jaxo+byo+czo+dl ttlru p mriMutsinb'Uti sb h m
7
1 n 1 "'- J 2 2 2 I "' 1 611
a+b+c
1u9~M~ihrt.Hstiti '1
I GV
u'\;f1rutitillilu Q t94'i5~~ L gt~nhnfiM~tr::hru D = 11~~~1 ttlru ~ m1u9~
0
LOlli9tutSti~~ L sb p mtirt!lutsinliti~~ L '1
? rurnui
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1. ~ n tu~m~m'hf~Si st~ tu~ m1~ds'U ~~ttl rum~ m13ti rt!lu r:t.ll ruLtu'i5st~1u9~Lmli9 tu
1
7
n. A(O, 0, 0) ' u = (1, 2, 3)
, ~ = ( -2, ~· 1)
;;3, B(O, 0, 0)
7 7 7 7
?'i. C(-2, 0, 3) ' u = (2i+4j-2k)
7 7 7
ill. D(-2, 0, 3) , u = 6i + 3j
b. P(l, 0, 1), x=3+3t, y=5-2t, z=-7+t
ti Q(-3, 5, 4) , x-l = +l = z-3 '1
2 ~nhl~ffl~fu'ht~Si Sb hl~ffl~ti8 ttl bl5ffl~ffl13tl~nMu21b tUffl13
' GV 1
2 2 I)
n. A(5, -3, 2) , B - , l' 1
(
3
;;3. P(l, 0, 1) , Q(l, 3, -2) '1
n. m~m13tirt!lu A(2, 3, 4) tt.ll ruuom94sb~ti xoz Sb~ti yoz '1
2. m~m13ti Mu P(2, 3, 4) tt.ll rufnb r;94sb'i5ti 3x + 2y- z = 6 '1
1 611
196

