# Monthly Test Sep 2014 Class Xi

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ROOTS GIRLS COLLEGEROOTS GIRLS COLLEGE 83 Harley Street Rawalpindi Cantt.83 Harley Street Rawalpindi Cantt. MONTHLY TEST SEP 2014MATHEMATICS (Objective Type – 08 Ma! # Name: _________________________Max. Marks: 40Class: XI / Section: ____Time: 10 min SECTION A(1 \$ 8 % 8# N&te' N& a! )i** be a)a+e+ ,& c-tti./ & &ve )iti./' 1Cic*e t3e c&ect &pti&.' (i)If roots of equation x 2  + kx + 4 = 0 are equal then value of k will be (a) 3(b) 4 (c) –4(d) 0(ii)he su! of roots of ax 2 + bx + c = 0 will be (a)c#a(b) –b#a (c) –c#a(d) b#c(iii)  22 )\$(\$ +  x  has %artial fractions of the for! (a) 22 )\$(  ++  x B Ax (b) 222 )\$(\$  +++++  x DCx x B Ax (c) 222 )\$(\$  +++  x B x A (d) 2222 )\$()\$(  ++++  xC  Bx x Ax (iv)  x x x \$\$\$\$\$ −++−  are the %artial fractions of (a) )\$(\$ 22 −+  x x x (b) )\$(\$ 22 −−  x x x (c) )\$(\$ 2 −  x x (d) \$\$ 22 −+  x x (v)(x&\$) 2  = x 2  – 2x + \$ is (a) 'n equation (b) 'n inequalit(c) 'n Identit(d) one(vi)*roduct of fourth roots of unit is ,(a) i (b) i − (c) \$(d) &\$ (vii)If -iscri!inant = 0 then roots are ,(a).qual (b) unequal(c) /o!%lex(d) one of these(viii)  = − \$2 ω  ,(a)&\$(b) \$(c) ω  (d) ω  −  ROOTS GIRLS COLLEGEROOTS GIRLS COLLEGE 83 Harley Street Rawalpindi Cantt.83 Harley Street Rawalpindi Cantt. MONTHLY TEST SEP 2014MATHEMATICS (S-bjective Type – 2 Ma! # Max Marks: 40Class: xi Time: 1hrs 10 mins SECTION 5(Ma! % 24# 2Attept a.y SI6 pat  (i)olve the followin1 equation, 4,2 2x+\$  – ,2 x  + \$ = 0 (ii)If α  β  are the roots of equation %x 2 + qx + q = 0 then %rove that 0 =++  pq α β β α  (iii)ind the cube roots of &25,(iv)6esolve into *artial fraction )\$()\$( 4 2 −+  x x x (v)6esolve into %artial fraction )4)(3( 275 +++  x x x (vi)ind the values of a and b if &2 and 2 are the roots of the %olno!ial bax x x  ++−  23 4 ,(vii)olve the followin1 equations, 5 =+  y x and \$3 22 =+−  y xy x (viii)olve b factori8ation, babxbaxa +=−+−  \$\$ ba x  \$\$ ≠ SECTION C(Ma! % 08#NOTE' Attept a.y ONE 7-e ti&. A** 7-e ti&. cay e7-a* a!  9, 2,how that the roots of equation ( ) ( )  02  2222 =−+−+−  abc xcab xbca  will be equal if either abccba  3 333 =++  or b = 09, 3,6esolve into %artial fraction )\$)(\$)(3( 22 22 −++++  x x x x x

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