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If `alpha,a n dbeta` be t roots of the equation `x^2+p x-1//2p^2=0,w h e r ep in Rdot` Then the minimum value of `alpha^4+beta^4` is `2sqrt(2)` b. `2-sqrt(2)` c. `2` d. `2+sqrt(2)`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If 2z1//3z2 is a purely imaginary number, then find the value of "|"(z...

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  3. If alpha,a n dbeta be t roots of the equation x^2+p x-1//2p^2=0,w h e ...

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  4. If z1, z2, z3 are complex numbers such that (2//z1)=(1//z2)+(1//z3), t...

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  5. Find the range of (a) f(x) = (x^(2)+34 x - 71)/(x^(2) + 2x - 7) (b...

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  6. If ((3-z1)/(2-z1))((2-z2)/(3-z2))=k(k >0) , then prove that points A(z...

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  7. x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair...

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  8. If (x+i y)^5=p+i q , then prove that (y+i x)^5=q+i pdot

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  9. If alpha,beta are the nonzero roots of a x^2+b x+c=0 and alpha^2,beta...

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  10. Find real value of theta for which (3+2i sin theta)/(1-2i sin theta) i...

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  11. If the roots of the equation a x^2+b x+c=0 are of the form (k+1)//ka n...

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  12. Prove that tan(iloge((a-ib)/(a+ib)))=(2ab)/(a^2-b^2) (where a, b in ...

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  13. If alpha,beta are the roots of a x^2+b x+c=0a n dalpha+h ,beta+h are...

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  14. Find the real part of (1-i)^(-i)dot

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  15. The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will h...

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  16. Convert of the complex number in the polar form: 1-i

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  17. If alpha,beta re the roots of a x^2+c=b x , then the equation (a+c y...

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  18. If z=r e^(itheta) , then prove that |e^(i z)|=e^(-r sintheta)

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  19. If the roots of the equation x^2+2a x+b=0 are real and distinct and t...

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  20. Z1!=Z2 are two points in an Argand plane. If a|Z1|=b|Z2|, then prove t...

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