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JBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-EXAMPLE
- If x+iy=(a+ib)/(a-ib), then prove that x^2+y^2=1
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- Find the value of [i^19+(1/i)^25]^2
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- Express each of the complex number in the form of a+ib. (1/5+i2/5)
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- Express each of the complex number in the form of a+ib. (i-4)^2
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- If z=-3x+2yi and barz=6+4i, find the values of x and y.
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- z1=(3x+2y)+(x+2y)i is additive inverse of z2=5-i, find the values of x...
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- Write the following in the form a+ib 1/(3+4i)
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- Write the following in the form a+ib (1+i)^2/(3-i)
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- Find the multiplicative inverse of each of the following complex numbe...
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- Find the multiplicative inverse of each of the following complex numbe...
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- Find the multiplicative inverse of: z=cos theta- isintheta.
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- Verify that bar((2+3i)(1-2i))=bar((2+3i)) bar( (1-2i))
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- Find the modulus of the following complex numbers: (3-4i)/(4-31)
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- Find the modulus of the following complex numbers: (2+3i)^2/(1-3i)
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- Find the number of non-zero integral solutions of the equation |1- i|^...
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- If z=x+iy and |z+a|=3|z-a|, show that 2(x^2+y^2)=5ax-2a^2.
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- Solve 2x^2+x+1=0
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- Solve the following equation : 2x^2-(3 +7i)x + (9i-3)=0.
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- Find the modulus and argument of the complex number (1+2 i)/(1- 3i)
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- If (x + iy)^3 = u + iv, then show that u/x +v/y = 4(x^2 - y^2)
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