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uw, , , , Dr. N.S.A.M. P.U. COLLEGE, NITTE, , I PUC CET TEST - 3 (MATHEMATICS), TOPIC: - COMPLEX NUMBERS AND QUADRATIC EQUATIONS, , , , , , , , A real value of x satisfies the equation, 3-4ix _ «ip (a,BeER),if a +B’ =, , , , 3+ 4ix, , (A)1 (B)-1, , (C)2 (D) -2, , It (Hy =1, then, , (A)x=2n4+1 (B) x =4n, , (C)x=2n (D) x = 4n + 1, wheren € N, , Sin x + i cos 2x and cos x —i sin 2x are conjugate to each other for,, , (A) x = an (B) x-(n+i, , (C)x=0 (D) no value of x, , The modulus and amplitude of to are, m= (i-1, , (A) tand = (B) Land, (C) v2 and = (D) Land 0, , ~¥3 +31, The complex number Peary, , (3+ -~/3i) (i)(v3 + ¥3i), , when represented in the Argand diagram lies, (A) on the x — axis ( real axis), , (B) on the y — axis (imaginary axis), , (C) in the first quadrant, , (D) in the second quadrant

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11. (1+ i)" + =i)", € zis, (A) a purely imaginary number, (B) a purely real number, (C) a non real complex number, , (D) a complex number z, such that Re z = Im z, , 12.The polar form of the complex number (i”)' is, (A) cos = +isin™ (B) cos m+ isinz, , (C) cos x-isin® — (D) cos®-isin®, , 13. The reciprocal of 3+iJ7 is, , 3 nx 3 awd, (A) Ot (B) a, (C) V7+3i (D) 3-vii, , _ 2, 14.1f z Trg then the value of arg zis, , |=, , (A) x (B), , (© = (D) *, , a, , 15.Let two numbers have arithmetic mean 9 and, geometric mean 4, Then these numbers are the, roots of the quadratic equation, (A)x°+18x+16=0 (B)x’-18x-16=0, (C)x?+18x-16=0 (D)x*-18x+16=0

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16.Number of solutions of the equation |x|’ —3|x|+2=0 is ......., , (A) 4 (B)2, (C)0 (D) 1, , 17. The roots of the equation x* + kx + 16 = 0 are equal,