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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 PUBLICATION-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 roots of the equation z^2+pz+q=0 where the coefficien...

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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=0 and gamma,delta be the root...

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  10. Let ...

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  11. If f(x)=x^2+2bx=2c^2 and g(x)=-x^2-2cx+b^2 are such that min f(x)gtmax...

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  12. Let z be a complex number such that the imaginary part of z is non zer...

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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, omega be complex numbers such that barz+ibaromega=0 and arg(z o...

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

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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 alphaand beta(alphaltbeta) are the roots of the equation x^2+bx+c=0...

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  18. If omega(ne1) be a cube root of unity and (1+omega^2)^n=(1+omega^4)^n ...

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  19. If b gt a, then the equation (x-a)(x-b)-1=0 has (a) Both roots in (a...

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  20. Let z1 and z2 be complex numbers such that z1 nez2 and absz1=absz2 if ...

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