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Prove that ifz1,z2 are two complex numbe...

Prove that if`z_1,z_2` are two complex numbers and `cgt0` then
`abs((z_1+z_2)^2)le (1+c)abs((z_1)^2)+(1+(1/c))abs(z_2)^2`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. Prove that ifz1,z2 are two complex numbers and cgt0 then abs((z1+z2)...

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  4. Let f(x), g(x), and h(x) be the quadratic polynomials having positive ...

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  5. Find the minimum value of |z-1| if ||z-3|-|z+1||=2.

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  7. If a ,b ,c be the sides of A B C and equations a x^2+b x+c=0 and 5x^2...

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  9. If the complex numbers x and y satisfy x^3-y^3=98 ia n dx-y=7i ,t h e ...

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  10. If b^2<2a c , then prove that a x^3+b x^2+c x+d=0 has exactly one real...

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  11. If z is any complex number such that |z+4|lt=3, then find the greatest...

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  12. If z1, z2 and z3, are the vertices of an equilateral triangle ABC suc...

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  13. If two roots of x^3-a x^2+b x-c=0 are equal in magnitude but opposite ...

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  14. For any complex number z find the minimum value of |z|+|z-2i|

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  15. The greatest positive argument of complex number satisfying |z-4|=R e(...

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  16. If alpha,betaa n dgamma are the roots of x^3+8=0 then find the equat...

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  17. Prove that the distance of the roots of the equation |sintheta1|z^3+|s...

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  18. Let z1a n dz2 be two distinct complex numbers and let z=(1-t)z1+t z2 f...

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  19. If alpha,beta,gamma are the roots of the equation x^3-p x+q=0, then ...

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