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Prove that the triangle formed by the po...

Prove that the triangle formed by the points `1,(1+i)/(sqrt(2)),a n di` as vertices in the Argand diagram is isosceles.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. Prove that the triangle formed by the points 1,(1+i)/(sqrt(2)),a n di ...

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  6. If the equations x^2+ax+b=0 and x^2+bx+a=0 have one common root. Then ...

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  8. Fill in the blanksIfx<0,y<0,x+y+(x//y)=(1//2)a n d (x+y)(x//y)=-(1//2...

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  9. Find the square roots of the following: (i) 7-24 i

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  10. True or false The equation2x^2+3x+1=0 has an irrational root.

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  11. If z!=0 is a complex number, then prove that R e(z)=0 rArr Im(z^2)=0.

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  16. Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b ...

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  17. If the sum of square of roots of the equation x^2+(p+i q)x+3i=0 is 8, ...

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  18. Column I ...............................................................

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