Tamil Nadu 12th Maths Complex Numbers Important Questions 2025

Tamil Nadu 12th Maths Complex Numbers Important Questions 2025 are given here for students’s preparation for the upcoming exam on March 11, 2025.

Abhilasha Kiran

Updated on - Mar 8, 2025 | 9:09:00 AM

Tamil Nadu 12th Maths Complex Numbers Important Questions 2025 are here (Image Credits: pexels.com).

Tamil Nadu 12th Maths Complex Numbers Important Questions 2025: The Directorate of Government Examinations (DGE) will conduct the Tamil Nadu 12th Maths Exam on March 11, 2025, from 10 AM to 1:15 PM. Students preparing to appear can go through the Tamil Nadu 12th Maths Complex Numbers Important Questions 2025 provided here. The Tamil Nadu Maths exam will be conducted for 200 marks and the Complex Numbers chapter carries the weightage of a total of 26 marks. Students can include these Class 12th Maths Complex Numbers Important Questions 2025 to secure maximum marks.

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Tamil Nadu 12th Maths Complex Numbers Important Questions 2025

Here are the important Complex Number Questions for Tamil Nadu 12th Maths Exam 2025.

SL.No.	Questions
1	Show that : (i) (2+i√3)¹⁰ - (2+i√3)¹⁰ is purely imaginary. (ii) (19-7i / 9+i)¹² (20-5i/7-6i)¹² is real
2	If Z₁, Z₂, and Z₃ are comlex numbers such that \|Z₁\| = 1, \|Z₂\|=2, and \|Z₃\| = 3, and \|Z₁ + Z₂ + Z₃\| = 1, show that \|9z₁+z₂+ 4z₁z₃+z₂z₃\|=6
3	If z=x+iy is a complex number such that \|z-4i / z+4i\| =1, show that the locus of z is real axis.
4	if z=x+iy is a complex number such that Im(2z+1/iz+1)=0, show that the locu of z is 2x²+2y²+x-2y=0
5	Solve the equation z³+27=0
6	If ω≠1 is a cube root of unity, show that the roots of the equation (z-1)³ +8 = 0 are -1, 1-2ω, 1-2ω²
7	If 2 cosα = x+1/x and 2 cosβ=y+1/y. show that: (i) x/y+ y/x = 2 cos (α - β) (ii) xy-1/xy=2i Sin (α + β)
8	If Cos α + Cos β + Cos y = Sin α + Sin β + Sin y = 0, show that (i) Cos 3α + Cos 3β + Cos 3y = 3 Cos (α +β+y) and (ii) Sin 3α + Sin 3β + Sin 3y = 3 Sin (α +β+y)
9	If z=x+iy and arg (z-i/ z+2) = π/4, show that x²+Y²+3x-3y+2=0

Along with these Tamil Nadu 12th Maths Complex Numbers Important Questions 2025, students can also solve the previous year’s question papers, sample and model papers to improve their performance.

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