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—_—o, , Choose the correct answer., 1, sinx + i cos 2x and cos x ~/ sin 2x are conjugate to each other for :, , 1, (A)x = nn wx=(n+i)e (C)x=0 —(D) No value of x, , 1-isina, , 2 The real value of o. for which the expression 7/5 is purely real is :, , (ay (n+ DF ®) (2n+ )F (C)nx (D) None of these, where n ¢ N, , 3, Ifz =x + iy ies in the third quadrant, then = also lies in the third quadrant if, (Ayx>y>0 @x<y<0 ©Oy<x<0 @M)y>x>0, Objective Question Bank, , Scanned with CamScanner

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Z + 3) is equivalent to, , 4. The value of (z + 3) (, (C()2+3 (D) None of these,, , (A) |2 +3)? 8) |z- 3], Wi) oy then, s tli] =!, , (A)x =2n +1 (B)x=4n (C)x = 2n (D) x = 4n + 1, wheren € N., , , , 6. Areal value of x satisfies the equation (i2)- a- i (a, B € R) if a? + p? =, , 3+4ix, (A)1 (B)-1 (C)2 (D)-2, 7, Which of the following is correct for any two complex numbers Z; and Zz ?, (A) [zy 22] = [21] [zal (B) arg (2129) = arg (21). arg 2), (©) |a +22) = lal+lzel (D) |zi + 22! 2 lal - lel’, , 8 The point represented by the complex number 2 - iis rotated about origin through an angle = in the, clockwise direction, the new position of point is :, , (A) 1 + 2i (B) -1 - 2i (C)2 +i (D)-1+2i, 9. Letx,y eR, then x + iy is a non real complex number if :, (A)x =0 )y=0 (C)x #0 (D) y#0, , 10. Ifa +ib=c + id, then, Aa+ce=0 BP+2=0 OF +P =0 Oe +PaC+H, , it+z 5, a = 1 lies on, , (A) circle x? + y? = 1 (B) the x-axis (C) the y-axis (D) the line x + y = 1., 12. If zis a complex number, then, , (A) [2] > |z|? ) |2| = |z/> © |2| < lz? @) Iz] 2 Iz/?, 13. |z; + z2| = |z| + |z2| is possible if, , 11. The complex number z which satisfies the condition, , , , = 1, (A) a = 4 Ba= 7 (©argci)=arg@) ©) lai! = lal, , . 1 i, 14. The real vaiue of 0 for which the expression rise is a real number is:, , 7 4, (A) n+ 4 (B) nx +(-1)" - © Qn (D) None of these., 15. The value of arg (x) when x < 0 is :, , ™, (A) 0 (B) 2 (C)x (D) None of these, , 16. Iff() = a where z = 1 + 2i, then |f(2)| is, , zl, (A) “5 ®) |z| (C)2 |z| (D) None of these., , Scanned with CamScanner

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17., , , , , , , ik, Conjugate of a complex number is 7—1 7 then complex number is, , ty 1 =4 1, & 741 ® ij OF Om, If z, Z2, Z3 are complex numbers such that, , 1 1, lal=lal=lal= Sh 8 = 1, then | z, + z + 23 | is, (A) equal to 1 (B) less than 1 (C) greater than3 —(D) equal to 3., If (a + ib) (c + id) (e + if) (g + ih) = A + BB, then, (a + b) (2 + &) (e? +f) (g? +h) =, (A) A? - B? (B) A? + B? (C) A* + B4 (D) A‘ - Bt, 1l4+i, , itz = (124), ten =, (A)1 (B)-1 (C0 (D) None of these, , , , Scanned with CamScanner