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Weekly Test - 6 Complex no., , 1. The value of i999 is, , (a)1 (b)-1 (ci (d+, 2. The value of x and y if (3y — 2) + i(7 - 2x) =0, , (a) x = 7/2, y = 2/3 (b) x = 2/7, y = 2/3, , (c) x = 7/2, y = 3/2 (d) x = 2/7, y = 3/2, , 3. The value of v(-16) is, (a) -4i (b) 4i (c) -2i (d) 2i, 4. The value of v(-25) + 3v(-4) + 2v(-9) is, , (a) 13i (b) -13i (c) 171 (d) 171, 5. The value of (1 - i)? is, (a)i (b) -i (c) -2i (d) 2i, , 6. For what real value of ‘a! complex number, z=(7a+5)+i(4-2a),be, the purely real?, , (a) 2 (b) -2 (c) 5/7 (d) -5/7, , 7. The value of i-39 is, , (a)i (b) -i (c) -2i (d) 2i, 8. Value of (1+ i)4 is, (a)1 (b)i (c) 4 (d) -4, , 9. Express in the form of a + ib : (3i-7) + (7-4i) - (6+3i) + i23, , (a) 6 - Si (b) - 6+ Si (c)-6-5i (d) 6 + 5i, , 10. Solve forx andy, 3x + (2x-y) i= 6 - 3i, , {a)x=7,y=2 (b)x=2y=7, , (c)x=-7,y=-2 (d)x=-2y=7, 11. Multiplicative inverse of ( 4 - 3i)is, , (a) (- 4-31 )/25 (b) (-4+43i)/25, , (c) (4+3i)/-25 (d) (-4-3i)/-25

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12. Evaluate, , , , (a)1 (b)-1 ()o (a2, , 13. If 21 = 2-1 and Z2 = 14i, then value of (4x z1+8* z2)is, (a)1-3i/4 (b)-1-31/4 (c)1+3i/4 (d)-14+31/4, , 14. If z= x + iy,21/ 3 =a — ib, then x/a — y/b = k(a2-b2) where k is equal to, (a)1 {b) 2 (c)3 (d)4, , 15. If (3+i4)+(4-i3) = a+ ib then, value of (a,b) is, (a)(71) (b) (1,7) (c)(-1,-7) (4) (-7,-1)

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Wt 6 Differentiation, , , , , , , , c.0, D1, , 4. If f(x)=xcosx, then f‘(0)=?, A. -1, , B.0, , c.1, , D.a