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Find the non-zero complex number z satis...

Find the non-zero complex number `z` satisfying ` z =i z^2dot`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the centre and radius of the circle formed by all the points repr...

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  2. If a ,b ,c are three distinct positive real numbers, the number of rea...

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  3. Find the non-zero complex number z satisfying z =i z^2dot

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  4. Let a,b and c be real numbers such that 4a+2b+c=0 and ab gt 0.Then t...

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  5. If |z|<=1,|w|<=1, then show that |z- w|^2<=(|z|-|w|)^2+(argz-argw)^2

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  6. If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the equa...

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  7. For complex numbers z and w, prove that |z|^2w- |w|^2 z = z - w, if...

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  8. If alpha,beta are the roots of the equation a x^2+b x+c=0, then the va...

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  9. Let z1 \and\ z2 be the roots of the equation z^2+p z+q=0, where the co...

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  10. If a in (-1,1), then roots of the quadratic equation (a-1)x^2+a x+sqrt...

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  11. The maximum value of |a r g(1/(1-z))| for |z|=1,z!=1 is given by.

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  12. If one root is square of the other root of the equation x^2+p x+q=0, t...

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  13. If z^4+1=sqrt(3)i (A) z^3 is purely real (B) z represents the vertic...

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  14. Let alpha,beta be the roots of the quadratic equation a x^2+b x+c=0 an...

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  15. If x=a+bi is a complex number such that x^2=3+4i and x^3=2+11i, where...

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  16. Let alpha,beta be the roots of x^2-x+p=0a n dgamma,delta are roots of ...

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  17. If the difference between the roots of the equation x^2+""a x""+""1...

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  18. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  19. Let z be a complex number such that the imaginary part of z is nonzero...

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  20. For the equation 3x^2+p x+3=0,p >0, if one of the root is square of th...

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