Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

111.

If one root of the equation x2 + (1 - 3i)x - 2(1 + i) = 0 is - 1 + i, then the other root is

  • - 1 - i

  • - 1 - i2

  • i

  • 2i


112.

The equation x2 - 3x + 2 = 0 has

  • no real root

  • one real root

  • two real root

  • four real root


113.

For two complex numbers z1, z2 the relation z1 + z2 = z1 + z2 holds, if

  • arg(z1) = arg(z2)

  • arg(z1) + arg(z2) = π2

  • z1z2 = 1

  • z1 = z2


114.

If z + 4  3, then the greatest and the least value of z + 1 are

  • 6, - 6

  • 6, 0

  • 7, 2

  • 0, - 1


Advertisement
115.

The region of the complex plane for which z - az + a = 1, [Re (a)  0] is

  • x - axis

  • y - axis

  • the straight line x = a

  • None of the above


116.

The number of non-zero integral solutions of the equation 1 - ix = 2x

  • infinite

  • 1

  • 2

  • None of these


117.

Let α, α2 be the roots of x2 + x + 1 = 0, then the equation whose roots are α31, α62 is

  • x2 - x + 1 = 0

  • x2 + x - 1 = 0

  • x2 + x + 1 = 0

  • x60 + x30 + 1 = 0


118.

The values of p for which the difference between the roots of the equation x2 + px + 8 = 0 is 2, are

  • ± 2

  • ± 4

  • ± 6

  • ± 8


Advertisement
Advertisement

119.

For any two complex numbers z1 and z2 and any real numbers a and b, az1 - az22 + bz1 + az22 is equal to

  • a2 + b2z1 + z2

  • a2 + b2z12 + z22

  • a2 + b2z12 - z22

  • None of these


B.

a2 + b2z12 + z22

az1 - bz22 + bz1 - az2= a2z12 + b2z22 - 2ab Rez1z2 + b2z12              + a2z22 + 2ab Rez1z2= a2 + b2z12 + z22


Advertisement
120.

If w ( 1 )is a cube root of unity and (1 + w2)n = (1 + w4)n, then the least positive value of n is

  • 2

  • 3

  • 5

  • 6


Advertisement