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The Value Of I 1 By 3 Is

Solution: Let x3 = -i x3+i = 0 (x3-(i)3 )= 0 (x-i)(x2-1+ix) = 0 x - i = 0 or x2-1+ix = 0 x = i or x = -i±√(-1+4)/2 x = i or x = (-i±√3)/2... View Article

If Y Cos Theta I Sin Theta Then The Value Of Y 1 Y Is

Solution: Given y = cos θ+i sin θ 1/y = 1/(cos θ+i sin θ) Multiply numerator and denominator with (cos θ-i sin θ) 1/y = (cos θ-i sin θ)/... View Article

If 1 Root 3 R Ei Theta Then Theta Is Equal

Solution: Given -1+√-3 = reiθ -1+√-3 = -1+√3i -1+√3i = r(cos θ+i sin θ) r cos θ = -1 r sin θ = √3 Squaring and adding r2(cos2θ+sin2θ)... View Article

If Z R Ei Then E Iz Is Equal To

(1) er sin θ (2) e-r sin θ (3) e-r cos θ (4) er cos θ Solution: Given z = reiθ eiθ = cos θ+i sin θ So z = r(cos θ+i sin θ) iz... View Article

1 7i 2 I 2 Is Equal To

(1) √2 [cos (3π/4)+i sin (3π/4)] (2) √2 [cos (π/4)+i sin (π/4)] (3) cos (3π/4)+i sin (3π/4) (4) None of these Solution: (1+7i)/(2-i)2 =... View Article

If Root A Ib X Iy Then Possible Value Of Root A Ib Is

Solution: √(a+ib) = x+iy Squaring both sides (a+ib) = (x+iy)2 = x2-y2+2ixy Comparing real and imaginary parts a = x2-y2 b = 2xy... View Article

If Ei Theta Cos Theta I Sin Theta Then In Triangle Abc Value Of

Solution: Given eiθ = cos θ+ i sin θ In triangle A+B+C = 1800 = π eiA.eiB.eiC = ei(A+B+C) = eiπ = cos π+ i sin π = -1 Hence option... View Article

If X Iy Root A Ib C Id Then X2 Y2 2 Is Equal To

(1) (a2+b2)/(c2+d2) (2) (a+b)/(c+d) (3) (c2+d2)/(a2+b2) (4) [(a2+b2)/(c2+d2)]2 Solution: Given x+iy = √[(a+ib)/(c+id)] ..(i) x-y =... View Article

If 7 24i 1 2 X Iy Then X2 Y2 Is Equal To

Solution: (-7-24i)1/2 = x-iy Squaring both sides (-7-24i) = (x-iy)2 (-7-24i) = x2-2xyi-y2 Equating real and imaginary part x2-y2 = -7... View Article

If Z Is Any Complex Number Satisfying Z 3 2i Less Than Or Equal 2 Then The Value Of

Solution: We know |z1|- |z2| ≤|z1+z2| ≤|z1|+|z2| Given |z-3-2i| ≤ 2 |2z-6+5i| = 2|z-3+(5/2)i| = 2|z-3-2i+(9/4)i| = |2-9/4| = 5/2... View Article

The Value Of The Sum Sigma N 1 To 13 I N I N 1 Where I Root 1 Equals

Solution: ∑n=113 (in+in+1) = ∑n=113 in(1+i) = (1+i) ∑n=113 in = (1+i)(1+i2+i3+...i13) = (1+i)(i(1-i)/(1-i)) = (1+i)i = -1+i = i-1... View Article

The Number Of Points In Infinity For Which X2 X Sin X Cos X 0 Is

Solution: Given f(x) = x2-x sin x- cos x = 0 f’(x) = 2x-x cos x-sinx+sinx = 2x-x cos x When x> 0, f(x) is increasing. When x< 0,... View Article

Let Z1 And Z2 Be Two Complex Numbers With Alpha And Beta As Their Principal Arguments Such That Alpha Plus Beta Greater Pi

Solution: arg z1 = α arg z2 = β α + β > π -π < arg z ≤ π arg z1z2 = arg z1+arg z2 = α + β Principal argument is α + β - 2π... View Article

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Archives

The Value Of I 1 By 3 Is

If Y Cos Theta I Sin Theta Then The Value Of Y 1 Y Is

If 1 Root 3 R Ei Theta Then Theta Is Equal

If Z R Ei Then E Iz Is Equal To

1 7i 2 I 2 Is Equal To

If Root A Ib X Iy Then Possible Value Of Root A Ib Is

If Ei Theta Cos Theta I Sin Theta Then In Triangle Abc Value Of

If X Iy Root A Ib C Id Then X2 Y2 2 Is Equal To

If 7 24i 1 2 X Iy Then X2 Y2 Is Equal To

If Z Is Any Complex Number Satisfying Z 3 2i Less Than Or Equal 2 Then The Value Of

The Value Of The Sum Sigma N 1 To 13 I N I N 1 Where I Root 1 Equals

The Number Of Points In Infinity For Which X2 X Sin X Cos X 0 Is

Let Z1 And Z2 Be Two Complex Numbers With Alpha And Beta As Their Principal Arguments Such That Alpha Plus Beta Greater Pi

How Do You Find The Sum Of Deviations

What Is The Sign Of Modulus

What Is Another Name For Potential Difference

Who Is Father Of Trigonometry

What Angle Is A 1 In 10 Slope

How Simplex Method Is Used In Linear Programming

What Does 6 Percent Per Annum Mean