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If `z_1, z_2` are the roots of the equation `az^2 + bz + c = 0`, with `a, b, c > 0, 2b^2 > 4ac gt b^2, z_1 in` third quadrant , `z_2 in` second quadrant in the argand’s plane then, show that arg `((z_1)/z_2)=2cos^(-1)((b^2)/(4ac))^(1//2)`

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MOTION-COMPLEX NUMBER -EXERCISE - 3 (LEVEL -III) SUBJECTIVE - JEE ADVANCED
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  15. If the equation x^4+ax^3+bx^2+cx+d=0 has four imaginary roots two with...

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  16. If z1, z2 are the roots of the equation az^2 + bz + c = 0, with a, b, ...

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  17. Find the set of points on the argand plane for which the real part of ...

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