www.aloksir.webs.comthis section contains 8 multiple choice questions. Each question has 4 choices (a), (b), (c) and (d), out of which ONLY ONE is correct. Each correct answer carries +3 marks and wrong answer carries -1 marks

1. The sum of series √1+ 112 + 1

22 +√1+ 122 + 1

32 +……………+√1+ 19992 +

110002 is

(a) 99999

100 (b)

999999910000

(c)999999

1000 (d)

9999999910000

2. The nine point centre of the triangle formed by the complex nos.Z1, Z2 and Z3 in the Gaussian plane , if Z1=√3+1+2 i , Z2 = −√3+1+2 i , Z3 = 1−i(a) 0+0.i (b) 1−i (c) 1+i (d) None

3. if z=iii

, where i=√−1 ,then argument of z will be

(a) e−π

2 (b) 2π

e−π

2 (c) −π

2(d) π

2e

−π2

4. If (1+3+5+…….+ p) + (1+3+5+…….+q) = (1 +3+5+…….+ r), where each set of parentheses contains sum of consecutive odd integers as shown , the smallest possible value of p +q + r, (where p > 6)(a) 12 (b) 21 (c) 45 (d) 54

5. if β1, β,2 β3, β4, β5 and β6 represents sixth roots of a unimodular complex no z(a) Area of hexagon formed by them will be constant(b) Their arguments will be in G.P.(c) They will be A.P.(d) Their product will be one.

6. If α, β are roots of the equationx2−√2 x+1=0 then |z| where z=( βα )

α−β

(a) e± π

2 (b) e± π√2 (c) e±√2 π (d) None

One or more than one option may be correct .Each correct answer carries +3 marks and there is no NEGATIVE MARKING.7. Let x+iy=√φ+iω , where φ and ω are real parameters, and C1 & C2 are real numbers.

(a) φ = C1, represents a hyperbola (b) ω = C2, represents a hyperbola(c) φ = C1 & ω = C2 intersect each other orthogonaly (d) none

8. Which of the following Statement/(s) are correct (a) Argument of complex no, 0 + 0. i is not defined(b) Any Sequence is range of a function whose domain is set of Real numbers.(c) ln (−1−i ) is not defined(d) Sum of infinite terms of a Sequence is finite only if it is converging sequence

9. if (a−b ) x2+(b−c ) x+(c−a )=0 wherea≠b≠c≠0 a,b,c ∈Q (a) both the roots of equation will be rational (b) c, a, b will be in H.P. if roots are equal(c) c, a , b will be in A.P. if roots are equal(d) roots will be complex if a,b,c are in A.P.

10. √3 , √5∧√7 (a) Any A.P. (b)Any G.P. (c)Any H.P. (d) More than one H.P

Answer keyQues 1 2 3 4 5 6 7 8 9 10

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www.aloksir.webs.comthis section contains 8 multiple choice questions. Each question has 4 choices (a), (b), (c) and (d), out of which ONLY ONE is correct. Each correct answer carries +3 marks and wrong answer carries -1 marks

0ns c c d b a b abc ad acd abcd

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