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If the complex numbers x and y satisfy x...

If the complex numbers `x and y` satisfy `x^3-y^3=98 ia n dx-y=7i ,t h e nx y=a+i b ,w h e r ea ,b , in Rdot` The value of `(a+b)//3` equals ______.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. 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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  2. Find the greatest and the least value of |z1+z2| ifz1=24+7i and |z2|=6...

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  3. 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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  4. 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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  5. If z is any complex number such that |z+4|lt=3, then find the greatest...

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

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

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

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

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

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

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

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

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  14. If |z1-1|lt=1,|z2-2|lt=2,|z(3)-3|lt=3, then find the greatest value o...

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  15. If the roots of equation x^3+a x^2+b=0a r ealpha1,alpha2 and alpha3(a ...

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  16. If z is a complex number, then find the minimum value of |z|+|z-1|+|2z...

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  17. Let |z|=2and w=(z+1)/(z-1),where z ,w , in C (where C is the set of c...

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  18. If alpha,betaa n dgamma are roots of 7x^3-x-2=0 , then find the value ...

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  19. if z is complex no satisfies the condition | Z |>3. Then find...

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  20. If alpha is the nth root of unity then 1+2alpha+3alpha^2+….to n terms ...

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