Complex numbers(mathematics -IIA)
24 videos • 71 views • by Mana study
1
Write the conjugate of the complex number (2 + 5i)(- 4 + 6i) | intermediate 2 nd year maths |
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2
Find the square roots of (i) (7+24i) (ii) -47+i8√3 #intermediate 2nd year
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3
Find the complex conjugate of (3+4i) (2-3i) || complex numbers || #intermediate ll(A) maths
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4
Find the polar form of following complex numbers (i) (−1 - √3 i)(ii) -√7 + i√21(iii)− 1 − i #inter
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5
If z = 2-3i ,show that z²-4z+13=0(Mar-14) complex numbers #intermediate @Mana_study 🔥🔥
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6
i) If Z₁= - 1 and Z₂= -i then find Arg (Z₁Z₂) . (ii) if Z₁ = -1 ,Z₂ =i then find Arg(Z₁/Z₂) #inter
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7
Find the real and imaginary parts of the complex number (a+ib)/(a-ib) #intermediate 2(A)
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8
If (x - iy)¹/³= a - ib then prove that x/a + y/b = 4(a² - b²) complex number #intermediate #inter
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9
If (√3 + i)¹⁰⁰ = 2⁹⁹ (a + ib) then show that a²+ b²= 4.#intermediate | #inter 2(A)
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10
if (a + ib)² = x + iy. find x² + y² . #intermediateexam #inter #intermediateexams2024
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11
Express 1-i in modulus - amplitude form. complex numbers #intermediate #inter2ndyear
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12
Find the multiplicative inverse of 7+24i . complex numbers |#intermediate #inter #intermediatemaths
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13
If Z₃-Z₁/Z₂-Z₁, is a real numbers, show that the point represent complex number Z₁, Z₂,Z₃ collinear.
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14
Show that the points in Argand plane -2+71, -3/2+1/2*1,4- 3i, 7/2*(1+i) are the vertices of rhombus
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15
Show points in the Argand plane represented by complex numbers 2+i,4+3i,2+5i,3i vertices of a square
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16
Show points argand represented complex numbers 2+2i,-2-2i,-2√3+2√3i vertices of equilateral triangle
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17
The point P,Q complex numbers Z₁,Z₂ argand diagram.O is origin. if Z₁Z⁻₂+Z₁⁻Z₂=0 show that ∆POQ=90°
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18
If (x-iy)1/3=a-ib, show that:x/a + y/b = 4(a²-b²) | complex numbers | intermediate 2nd year maths..
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19
Determine the locus of z,z=/2i, such that Re(z-4/z-2i)=0 | Complex numbers | 12th class inter
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20
Show that z₁=2+11i/25,z₂=-2+i/(1-2i)² are conjugate to each other | complex numbers | inter 2nd year
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21
(i)If x+iy=1/ 1+cosθ+isinθ then show that (4x²-1)=0.(ii)Ifu+iv=2+i/z+3 and z=x+iy then find u, v.
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22
If Z=2-i√7, then show that 3Z³-4Z² + Z+88=0 |complex numbers | inter 2nd year | Maths-2A | #inter
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23
If the amplitude of (Z-2/Z-6i)=π/2, find its locus. | Complex numbers | inter 2nd year maths 2A
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24
If x+iy=3/2+cosθ+isinθ then, show that x²+y²=4x-3. | complex numbers | maths -2A inter 2nd year
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