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The values of 'a' for which the equation...

The values of 'a' for which the equation `(x^2 + x + 2)^2 - ( a-3)( x^2+ x+2)(x^2 +x + 1) + (a-4)(x^2 + x + 1)^2 = 0` has atlesast one real root is:

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.

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  2. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

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  3. The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2...

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  4. A man walks a distance of 3 units from the origin towards the North-...

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  5. Find the values of a for whilch the equation sin^4x+asin^2x+1=0 will h...

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  6. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on (a)a l...

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  7. Find all the value of m for which the equation sin^2x-(m-3)sinx+m=0 ...

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  8. Let A(z1) and (z2) represent two complex numbers on the complex plan...

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

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

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  11. Find the condition if the roots of a x^2+2b x+c=0 and b x^2-2sqrt(a c ...

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  12. Locus of complex number satisfying "a r g"[(z-5+4i)/(z+3-2i)]=pi/4 is ...

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  13. Solve (x^2-5x+7)^2-(x-2)(x-3)=1.

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  14. If alpha is a complex constant such that alpha z^2+z+ baralpha=0 has...

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  15. Solve the equation x^4-5x^2+4=0.

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  16. The complex number z satisfies z+|z|=2+8i. find the value of |z|-8

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  17. Solve (x^2-2x-3)/(x+1)=0.

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  18. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

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  19. Solve (x^3-4x)sqrt(x^2-1)=0.

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  20. The complex number sinx+icos2x and cosx-isin2x are conjugate to each o...

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