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If z1 = 1 + 2i and z2 = 3 + 5i, then Real part of bar (z2 )z1/z2 (1) -31/17 (2) 17/22 (3) -17/31 (4) 22/17

Given z1 = 1 + 2i and z2 = 3 + 5i. = 3-5i = (3-5i)(1+2i)/(3+5i) = (3-5i)(1+2i)(3+5i)/(3+5i)(3-5i) = (1+2i)(9-30i-25)/(9+25) =... View Article

If arg (z) = theta , then arg (bar {z}) is equal to (1) theta – pi (2) pi-theta(3) theta (4) -theta

Given arg (z) = θ z = r cos θ+i sin θ = r cos θ-i sin θ = r cos (-θ)-i sin (-θ)(-1) = r cos... View Article

The complex numbers sin x + i cos 2x and cos x – i sin 2x are conjugate to each other for (1) x = npi (2) x = (n+½)pi (3) x = 0 (4) No values of x

Given sin x + i cos 2x and cos x - i sin 2x are conjugate to each other. sin x - i cos 2x = cos x - i sin 2x Comparing real and imaginary parts... View Article

For any two complex numbers Z1 and Z2 and any real numbers a and b, |(az1 – bz2)|^2+ |(bz1 + az2)|^2 is equal to (1) (a^2+b^2)(|z1|+|z2|)(2) (a^2+b^2)(|z1|^2+|z2|^2)(3) (a^2+b^2)(|z1|-|z2|^2)(4) None of these

Question. For any two complex numbers Z1 and Z2 and any real numbers a and b, |(az1 - bz2)|2+ |(az1 + bz2)|2 is equal to 1) (a2+b2)(|z1|+|z2|)... View Article

Who Discovered Speed?

The Italian physicist Galileo Galilei is credited with the discovery of speed. Galileo first measured speed by considering the distance covered... View Article

What happens to resistance when length is doubled?

The expression to find the resistance is given as follows: From the equation, we understand that resistance is directly proportional to the... View Article

If z is a complex number such that z = – bar z, then (1) z is purely real (2) z is purely imaginary (3) z is any complex number (4) real part of z is same as its imaginary part

Solution: Let z = x+iy = -(x-iy) z = => x+iy = -x+iy 2x = 0 x = 0 So z is purely imaginary. Hence option (2) is the answer.... View Article

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Archives

If z1 = 1 + 2i and z2 = 3 + 5i, then Real part of bar (z2 )z1/z2 (1) -31/17 (2) 17/22 (3) -17/31 (4) 22/17

If arg (z) = theta , then arg (bar {z}) is equal to (1) theta – pi (2) pi-theta(3) theta (4) -theta

The complex numbers sin x + i cos 2x and cos x – i sin 2x are conjugate to each other for (1) x = npi (2) x = (n+½)pi (3) x = 0 (4) No values of x

For any two complex numbers Z1 and Z2 and any real numbers a and b, |(az1 – bz2)|^2+ |(bz1 + az2)|^2 is equal to (1) (a^2+b^2)(|z1|+|z2|)(2) (a^2+b^2)(|z1|^2+|z2|^2)(3) (a^2+b^2)(|z1|-|z2|^2)(4) None of these

Who Discovered Speed?

What happens to resistance when length is doubled?

If z is a complex number such that z = – bar z, then (1) z is purely real (2) z is purely imaginary (3) z is any complex number (4) real part of z is same as its imaginary part

If alpha and beta are two different complex numbers with..

If z is a complex number of unit modulus and argument..

The value of sum [latex]\sum_{n=1}^{13}(i^{n}+i^{n+1})[/latex] where i = √-1 equals

Is hydrochloric acid strong or weak

Why is tertiary carbocation more stable than secondary

What do you mean by binding energy

What are 3 interesting facts about lead

Which enthalpy is always positive

What is the relation between conductance and conductivity

Do real gases have volume

Why is binding energy important

What is heat in chemistry

Does melting point increase with pressure

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