Who Uses Calculus
Calculus is used by professionals in various fields in real life, such as engineering, medicine, physics, economics and statistics. Calculus... View Article
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What Does Sine Curve Mean
Sine curve or sine graph represents the equation: y=a sin bx Where a and b are not equal to 0... View Article
Which Single Bond Is Strongest
Usually, all single bonds are sigma bonds that are formed by a combination of atomic orbitals. Sigma bonds are the... View Article
What Does A Dot Product Represent
Dot product of two vectors represents the product of the magnitude of the one vector with the resolved component of... View Article
What Is Equilibrium And Its Types
Equilibrium is a state in which neither the internal energy nor the movement of body changes with time. It has... View Article
How Do You Convert Sin To Degrees
Since, we know, in a right triangle, sine of an angle is equal to the opposite to the angle and... View Article
What Is The Value Of Sin Theta
In a right-angled triangle, the value of sin theta is equal to the ratio of opposite side to theta and... View Article
The Statement A Ib Less Than C Id Is True For
(1) a2+b2 = 0 (2) b2+c2 = 0 (3) a2+c2 = 0 (4) b2+d2 = 0 Solution: For a+ib <... View Article
The Least Positive Integer N Which Will Reduce I 1 By I 1 N To A Real Number Is
Solution: [(i-1)/(i+1)]n = [(i-1)(i-1)/(i+1)(i-1)]n = (i2-2i+1)/(-1-1) =-1-2i+1)/-2 = -2i/-2 = i i2 = -1 (-1 is a real number) So... View Article
I Power 2 I Power 4 Plus I 6 2n 1 Terms
Solution: i2+i4+i6 +…(2n+1) = -1+1-1+1….-1 (odd no. of terms) = -1 Hence option (4) is the answer.
1 Plus I Square I Power 4 I 2n Is
Solution: i2 = -1 i4 = 1 i6 = -1 Put n = 3 1+i2+i4+i6 = 1-1+1-1 = 0 Put... View Article
If 2x Equal 3 5i Then The Value Of 2x 3 2x 2 7x 72 Is
Solution: Given 2x = 3+5i x = (3+5i)/2 x3 = (27+135i-225-125i)/8 = (-198+10i)/8 x2 = (9-25+30i)/4 = (30i-16)/4 Substitute x3,... View Article
The Value Of 1 I 5 1 I 5
Solution: (1+i)5(1-i)5 = (1+i)2(1+i)2(1+i)(1-i)2(1-i)2(1-i)..(i) (1+i)2= 1+2i-1 = 2i (1-i)2 = 1-2i-1 = -2i (1+i)(1-i) = 1+1 = 2 Substitute above... View Article
If 1 I By 1 I3 1 I By 1 I3 X Iy
Solution: [(1+i)/(1-i)]3 – [(1-i)/(1+i)]3 = x+iy = [(1+i)2/(1-i2)]3-[(1-i)2/(1-i2)]3 = [(1+2i+i2)/(1+1)]2-[(1-2i+i2)/(1+1)]3 = (2i/2)3-(-2i/2)3 = i3-(-i3) = 2i3 = 0 -2i Comparing... View Article
If 1 I N 2 N Then N Is Equal To
Solution: (1-i)n = 2n+0i If two complex numbers are equal, their moduli are also equal. |(1-i)n| = |2n| |1-i|n =... View Article
If 1 I 1 I M 1 Then Least Integral Value Of M Is
Solution: [(1+i)/(1-i)]m = 1 Multiply numerator and denominator with(1+i) [(1+i)(1+i)/(1-i)(1+i)]m = 1 [(1+i)2/(1+1)]m = 1 [(1+2i-1)/2)]m = 1 (2i/2)m =... View Article
If N Is A Positive Integer Then Which Of The Following Relations Is False
(1) i4n = 1 (2) i4n-1 = i (3) i4n+1 = i (4) i-4n = 1 Solution: Put n =... View Article
Root 2 Root 3 Is Equal To
Solution: We know √-1 = i √2√-3 = √2√3√-1 = √6i Hence option (3) is the answer.
The Real Part Of 1 I I Is
(1) e-π/4 cos (½ log 2) (2) -e-π/4 sin (½ log 2) (3) eπ/4 cos (½ log 2) (3) e-π/4... View Article
If Z 1 Iroot 3 By Root 3 I Then Bar Z 100 Lies In
Solution: Given z = (1+i√3)/(√3+i) Multiply numerator and denominator with (√3-i) z = (1+i√3)(√3-i)/(√3+i)(√3-i) = (√3+3i-i+√3)/(3+1) = (2√3+2i)/4 = (√3+i)/2... View Article
