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If a in (-1,1), then roots of the quadra...

If `a in (-1,1),` then roots of the quadratic equation `(a-1)x^2+a x+sqrt(1-a^2)=0` are

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If alpha,beta are the roots of the equation a x^2+b x+c=0, then the va...

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

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

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

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

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

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

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

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

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

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

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

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  14. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi Then a...

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  15. Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) be the minimum value of f(x)do...

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  16. For any two complex numbers z1 and z2, , prove that Re (z1 z2) = Re ...

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  17. If alphaa n dbeta are the roots of the equation x^2+b x+c=0,where <mat...

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  18. If omega(!= 1) be an imaginary cube root of unity and (1+omega^2)^n=(...

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  19. If b &gt; a , then the equation (x-a)(x-b)-1=0 has (a) both roots i...

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  20. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

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