JEE Mains · Maths · STD 11 - 4.1 complex nubers
The number of elements in the set \(\{ z = a + ib \in C : a , b \in Z\) and \(1<| z -3+2 i |<4\}\) is.......
- A \(401\)
- B \(40\)
- C \(90\)
- D \(150\)
Answer & Solution
Correct Answer
(B) \(40\)
Step-by-step Solution
Detailed explanation
\(1<|Z-3+2 i|<4\) \(1<(a-3)^{2}+(b+2)^{2}<16\) \((0, \pm 2),(\pm 2,0),(\pm 1, \pm 2),(\pm 2, \pm 1)\) \((\pm 2, \pm 3),(3 \pm, \pm 2),(\pm 1, \pm 1),(2 \pm, \pm 2)\) \((\pm 3,0),(0, \pm 3),(\pm 3 \pm 1),(\pm 1, \pm 3)\) \(Total \,\,40\,\, points\)
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