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If Z And Z Are Complex Numbers Such That Z Then Z Is Equal To

Solution: Let z = x+iy z’ = x-iy zz’ = (x+iy)(x-iy) = x2+ixy-ixy+y2 = x2+y2 Given z.z’ = z x2+y2 = x+iy Since imaginary part is... View Article

Re 1 I 2 3 I Is Equal To

Solution: (1-i)2/(3-i) = (1-2i-1)/(3-i) = -2i/(3-i) Multiply numerator and denominator with (3+i) = -2i(3+i)/(3-i)(3+i) = (-6i+2)/(9+1) =... View Article

1 By 1 2i Plus 3 By 1 I3 Is Equal To

Solution: [1/(1-2i)]+[3/(1+i)](3+4i)/(2-4i) = (1+i+3(1-2i))(3+4i)/(1-2i)(1+i)(2-4i) = (4-5i)(3+4i)/(3-i)(2-4i) =... View Article

Additive Inverse Of 1 I Is

Solution: Additive inverse of x+iy is -(x+iy). Additive inverse of 1-i is -(1-i) = -1+i Hence option (3) is the answer.... View Article

If Z1 And Z2 Be Two Complex Number Then Re Z1 Z2 Is Equal To

(1) Re (z1) Re (z2) (2) Re (z1) Im (z2) (3) Im (z1) Re (z2) (4) None of these Solution: Let z1 = x+iy Re z1 = x Im z1 = y z2 = a+ib Re... View Article

If A Eq Cos Theta Plus I Sin Theta Then 1 A Is Equal To

Solution: a = cos θ+ i sin θ (1+a)/(1-a) = (1+cos θ+ i sin θ)(1-cos θ+i sin θ)/(1-cos θ-i sin θ)(1-cos θ+i sin θ) = (1 + cos θ+ i sin θ- cos... View Article

Solving 3 2yi 9x 7i Where I2 1 For X And Y Real We Get

Solution: Given 3-2yi = 9x-7i Comparing real and imaginary parts 9x = 3 x = ½ = 0.5 2y = 7 y = 7/2 = 3.5 Hence option (1) is the answer.... View Article

If I 2 1 Then Sum Of I Plus I Power 2 Up To 1000 Terms Is Equal To

Solution: i+i2+i3+....1000 terms = i-1-i+1 ...1000 terms = 0... View Article

The Imaginary Part Of I Power I Is

Solution: eiθ = cos θ+ i sin θ eiπ/2 = cos π/2+ i sin π/2 = i Let (a+ib) = ii Taking log on both sides log (a+ib) = i log i = i log... View Article

The Complex Number 1 Plus 2i By 1 2i Lies In Which Quadrant Of The Complex Plane

Solution: (1+2i)/(1-2i) Multiply numerator and denominator with (1+2i) =(1+2i)(1+2i)/(1-2i)(1+2i) = (1+4i-4)/(1+4) = (-3+4i)/5 =... View Article

The Value Of 1 Plus I Power 8 1 I Power 8 Is

Solution: (1+i)8+(1-i)8 (1+i)2 = (1+2i-1) = 2i ((1+i)2)4 = (2i)4 = 16 (1-i)2 = (1-2i-1) = -2i ((1-i)2)4 = (-2i)4 = 16 (1+i)8+(1-i)8 =... View Article

The Value Of I N Plus I N Plus 1 3 Equals N Belongs To N

Solution: In+in+1+in+2+in+3 = in(1+i+i2+i3) = in(1+i-1-i) = 0 Hence option (1) is the answer.... View Article

If X 1 By X Eq 2 Cos Theta Then X Is Equal To

Solution: x+1/x = 2 cos θ Rearranging , we get x2+1-2x cos θ = 0 x2-2x cos θ +1 = 0 x = [2 cos θ±√(4 cos2θ-4)]/2 = [2 cos θ±√4(... View Article

The Value Of I Power 1 Plus 3 Plus 5 Is

Solution: i(1+3+5..(2n+1) 1+3+5+...(2n+1) = sum of (n+1) terms of A.P Sn+1 =[ (n+1)/2](2+n+1-1)2 = [(n+1)/2](2+2n) = (n+1)2 Put n = 1... View Article

What Are The Main Parts Of Bacteria

A bacteria will have the following cell organelles: Plasma membrane Cytoplasm Nucleoid (DNA or RNA) Ribosomes Most bacteria also have a... View Article

What Are The Parts Of The Cell And Functions

A typical eukaryotic cell would have the following components: Nucleus Cell wall Cell membrane Ribosome Mitochondria Chloroplast Golgi bodies... View Article

What Are The Parts Of Prokaryotic Cell

The organelles inside a prokaryotic cell includes: Nucleoid (DNA or RNA) Ribosomes Plasma membrane Cytoplasm Read More Only at... View Article

What Are The Parts Of Plant

The basic part of a plant will include: Roots Stem Leaves Flowers Fruits Read More Only at BYJU’S NEET.... View Article

What Color Is A Centriole

Except for organelles that contain pigments, every other cell organelle including centrioles are colourless. Read More Only at BYJU’S NEET.... View Article

What Are The Parts Of Human Heart

A human heart will have the following parts: Heart chamber Vessels Conduction systems Valves Read More Only at BYJU’S NEET.... View Article

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