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If the points A(z),B(-z),a n dC(1-z) ar...

If the points `A(z),B(-z),a n dC(1-z)` are the vertices of an equilateral triangle `A B C ,` then (a)sum of possible z is `1/2` (b)sum of possible z is 1 (c)product of possible z is `1/4` (d)product of possible z is `1/2`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. mn squares of equal size are arranged to form a rectangle of dimension...

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  3. If the points A(z),B(-z),a n dC(1-z) are the vertices of an equilater...

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  4. Form a quadratic equation whose roots are -4a n d6.

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  6. If a,b,c are odd integere then about that ax^2+bx+c=0, does not have r...

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  9. if costheta , sinphi , sintheta are in g.p then check the nature of ro...

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  11. If a ,b ,c are non zero rational no then prove roots of equation (a b ...

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  12. If a b+b c+c a=0, then solve a(b-2c)x^2+b(c-2a)x+c(a-2b)=0.

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  13. If (costheta +isintheta)(cos2theta +isin2theta).....(cosntheta + isinn...

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  14. The polynomial x^6+4x^5+3x^4+2x^3+x+1 is divisible by where omega is o...

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  15. If roots of equation 3x^2+5x+1=0 are (sectheta1-t a ntheta1) and (cos ...

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  16. If roots of the equation a x^2+b x+c=0 be a quadratic equation and α,β...

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  17. Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))...

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  18. Form a quadratic equation with real coefficients whose one root is 3-2...

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  19. Number of solutions of the equation z^3+[3(barz)^2]/|z|=0 where z is a...

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  20. If the roots of the quadratic equation x^2+p x+q=0 are tan30^0a n dtan...

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