If 2z1/3z2 is purely imaginary
WebSo that is the magnitude of z minus z1, this first term over here. Let's figure out the magnitude of z minus z2. I'm going to color code it. z minus z2 is equal to the magnitude-- well, z is just this thing up here. Let me just write it out. So it is 1 minus t times z1 plus t times z2, that's z. And from that, we want to subtract z2, so minus z2. WebThe straight answer is no. 1st of all know the definition of complex numbers. They consist of real, imaginary and real+imaginary. 1st case….Real number Let z1= -5 Absolute value is 5 And let z2 = 5 Again absolute value is five. So its not necessary. Similarly Its applicable to iota, real + imaginary numbers also. More answers below Amit Somani
If 2z1/3z2 is purely imaginary
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Web16 mei 2024 · If z − 1 = z + 1 , then writing z = x + i y and squaring both sides we get ( x − 1) 2 + y 2 = ( x + 1) 2 + y 2 which implies that x = 0. If z ≠ 0, this means that z is purely … Web15 jan. 2024 · If z1 is a complex number other than –1 such that z1 = 1 and z2 = z1-1/z_1+1 then show that z2 is purely imaginary. asked Jul 21, 2024 in Complex …
Web24 mrt. 2024 · A complex number is said to be purely imaginary if it has no real part, i.e., . The term is often used in preference to the simpler "imaginary" in situations where can … WebSolve this; Q 51 If Z1≠0 and Z2 be two complex numbers such that Z2Z1 is a purely imaginary number, then 2Z1+3Z22Z1-3Z2 is equal to: (A) 2 (B) 5 (C) 3 (D) 1 - Maths - …
WebIf 2z1/3z2 is a purely imaginary number, then find the value of (z1−z2)/(z1+z2) . Q. If z(≠−1) is a complex number such that z−1 z+1 is purely imaginary, then find z Q. … Webif 2z1/3z2 is purely imaginary number then z1- z2/z1+z2 = If the amplitude of z-2-3i is pi/4 , then locus of z=x+iy is ; Additive inverse of 1 - i is ; The conjugate of ( 2+ i)sqr / (3+i) , in …
Webif z 1 and z 2 are complex numbers 5z 2 / 11z 1 is purely imaginary then find the mode of 2z 1 +3z 2 / 2z 1 -3z 2 Q. If 5z1 7z2 is purely imaginary then the value of ∣∣ ∣ 2z1+3z2 … speech and language roles and responsibilityWeb10 apr. 2015 · If 2z1/3z2 is purely imaginary then, Z1 – z2/ z1 + z2 = a) 3/2 b) 1 c) 2/3 d) 4/9 Share with your friends 1 Follow 1 Vimisha Yadav, added an answer, on 20/4/15 as 2z1/3z2 is purely imaginary so 2z1/3z2 = - conjugate of 2z1/3z2 now square the modulus of z1-z2/z1=z2 using Z*CONJUGATE OF Z =SQUARE OF MODULUS OF Z SOLVE it speech and language resources to buyWebIf `(2z_(1))/(3z_(2))` is purely imaginary number, then ` (z_(1)-z_(2))/(z_(1)+z_(2)) ^(4)` is equal to speech and language resources onlineWebIf 2z1/3z2 is a purely imaginary number, then find the value of ( z1 - z2 ) / ( z1 + z2 ) . Class 11 >> Maths >> Complex Numbers and Quadratic Equations >> Algebra of Complex Numbers >> If 2z1/3z2 is a purely imaginary number, Question If 2z 1/3z 2 is a purely imaginary number, then find the value of ∣(z 1−z 2)/(z 1+z 2)∣. Hard Solution speech and language screener for kindergartenWeb If z−i z+i(z≠−i) is a purely imaginary number, then z.¯z is equal to A. 0 B. 1 C. 2 D. None of these Please scroll down to see the correct answer and solution guide. Right Answer is: B SOLUTION Here z−i z+i = x+i(y−1 x+i(y+1). x−i(y+1) x−i(y+1) = (x2+y2−1)+i(−2x) x2+(y+1)2 As z−i z+i is purely imaginary, we get x2+y2−1 =0 ⇒ x2+y2 = 1 ⇒ z¯z = 1. speech and language scheduleWebIf (5z2/11z1) is purely imaginary, then the value of (2z1+3z2/2z1-3z2) is Q. If 11z15z2 is purely imaginary, then the value of ∣∣2z1−3z22z1+3z2∣∣ is 1645 64 Complex Numbers and Quadratic Equations Report Error A 3337 B 2 C 1 D 3 Solution: Since, 11z15z2 = iy (say) ∴ z1z2 = 511iy Now, ∣∣2z1−3z12z1+3z2∣∣ = ∣∣ 2−3z1z22+3z1z2 ∣∣ speech and language screening results formWeb26 jan. 2024 · complex numbers speech and language scotland