Page 202 - Math Grade 12 (Advance)

PROEUS DARA

Q) II II cJ II ':1 I
4. H1M1HilHilm1HibS't5~'H1 L ~G:rlhltffl'e:
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7
7
7
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n. 't5 ~ 61 L fil61 fil13G b1.f1 G t'Ul ruLMm tf' 1 s h ~ G g ~ v = 4i- k
(i). (2, 3, 0) (ii). (-6, 3, 2) (iii). (2, I, 0) (iv). (6, 3, -2) 'i
2. 15~~ L fil~fil13~bl.f1G ttflti5LMmflish1G9~ t = (2, 2, 1)
11
(i). (4, I, -2) (ii). (~, ~' - ) (iii). (2, 3, 4) 'i
4
~. 'USl~ L dl~'t5Mmtlh't5i1rJH:iG:nhtUfil13:
4 l..i I) IN U
3J..
a : x-3y+4z = 10 ... w a : 2x-y+z+ 1 = 0 'i
1 2
a 1 : 3x + 2y- z = 7 : 5x+ y z = 4 'i

7 7. 7
D(O, 0, 0) n = - 3! + 2k E(O, 0, 6) X = 1 - t , )I = 2 + t , Z = 4- 2t
x-1 z+3 'i
F(3,2,2) T=y+2=-=3

6. ~n M~mmi1 ~L:Hlifil~fil'e~MGtlG:nh tUfil13
"" 1 u
n. A(O, 0, 0) , B(l, 2, 3) Sh C(-2, 3, 3)

2. A(!, 2, -3) , B(2, 3, 1) Sh C(O, -2, -1)

n A(1, 2, 3) , B(3, 2, I) Sh C(-1, -2, 2)
lli. A(2, 0, 0) ShLM'Ub&1Sh1Ji1 yoz

h. A(l, 2, 3) Sh1JU15t&1Sh1Ji1 xoz 'i
C)} •cJ o · • x-1 C:\ x 2 y 1 z 2
7. ~nM13mm-tHtlrnnM61ttnru't5Sl61 - = y-4 = z sh --=- =--=- =-=- 'i
6V "' -2 -3 4 -1
Ql I cJ 0 I 0 ~J.lt ~ X y-4
8. ~nM13filmhttlblinM61&ttlti5GMG A(2, 2, 1) Sw'USln - =- = z 'i
GV 1 4 2 -1
0 c:J 0 Q) I
9. ~ n'e & tl rn~ t g~h t ttl ru'Uh i:l G :n h tUfil13
1 A\..l GVU
1
n. 5x-3y+z = 4 x+4y+7z = 1
2. 3x+y-4z = 3 , -9x-3y+ 12z = 4

~. x-3y+6z = 4 5x+y-z = 4 'i
10. ~ n M~m~m·h~-J61ts't5Sl ~m Mm tlh't5i1 i:lG:nh tUfil13
"' l..i IJ "" u
n. 3x+2y-z = 7 x-4y+2z = 0
2. x- 3y + 6z = 4 , 5x + y z = 4 'i

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