If z + 4 ≥ 3 then the greatest a

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

121.

The complex numbers sin(x) + i cos(2x) and cos(x) - i sin(2x) are conjugate to each other for

  • x = 

  • x = n + 12π

  • x = 0

  • No value of x


122.

The locus of the points z which satisfy the condition argz - 1z + 1 = π3

  • a straight line

  • a circle

  • a parabola

  • None of the above


123.

If α is an nth root of unity, then 1 + 2α + 3α2 + ... + n - 1equals

  • - n1 - α

  • - n1 + α2

  • n1 - α

  • None of these


124.

If z  3, then the least value of z + 14

  • 112

  • 114

  • 3

  • 14


Advertisement
125.

If the complex number z lies on a circle with centre at the origin and radius = 14, then the 4 complex number - 1 + 8z lies on a circle with radius

  • 4

  • 1

  • 3

  • 2


126.

If x2 + x + 1 = 0, then the value of n = 16xn + 1xn2 is

  • 13

  • 12

  • 9

  • 14


127.

If x + iy = 32 + cosθ + isinθ,  then x2 + y2 is equal to

  • 3x - 4

  • 4x - 3

  • 4x + 3

  • None of these


Advertisement

128.

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

  • - 1, 6

  • 6, 0

  • 6, 3

  • None of these


B.

6, 0

We have, z + 4  3  - 3  z + 4  3                - 6  z + 1  0                     0  - z + 1  6                     0  z +1  6

Hence, the greatest and least value are 6 and 0.


Advertisement
Advertisement
129.

If the area of the triangle on the complex plane formed by the points z, z + iz and iz is 200, then the value of 3lz I must be equal to

  • 20

  • 40

  • 60

  • 80


130.

A cmplex number z is such that argz - 2z + 2 = z3. The points representing this complex number will lie on

  • an ellipse

  • a parabola

  • a circle

  • a straight line


Advertisement