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Show that the number of solutions of equ...

Show that the number of solutions of equations `|x|^(2)-3|x|+2=0` is 4.

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. Five speakers A,B,C,D and E will speark at a meeting. In how many ways...

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  2. If z(1)=3i and z(2)=-1-i , where i=sqrt(-1) find the value of arg ((z(...

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  3. Show that the number of solutions of equations |x|^(2)-3|x|+2=0 is 4.

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  4. Show that (1)/(2)[(x-y)^(4)+(y-z)^(4)+(z-x)^(4)] is perfect square.

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  5. In an arithmetic progression of n terms ( n is even) , the two middle ...

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  6. In an A.P. fo n terms (n is even), the two middle terms are (alpha- be...

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  7. Prove that the ineuations (2x+1)/(7x-1) gt 5 and (x+7)/(x-8)gt2 have n...

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  8. If the argument of (z-a)(barz-b) is equal to that of ((sqrt(3)+i)(1+sq...

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  9. Which term of the series 3+4+6+9+13+18+.. is 5053?

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  10. z(1) and z(2)( ne z(1)) are two complex numbers such that |z(1)|=|z(2...

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  11. If x= cos theta+ I sin theta and y= cos psi + I sin psi, then show tha...

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  12. If omegais an imaginary cube root of unity, show that (x+omega+ omeg...

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  13. If omegais an imaginary cube root of unity, show that (a+ bomega+com...

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  14. If omegais an imaginary cube root of unity, show that (omega)/(9)[(1...

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  15. Find the value of 4+5[-(1)/(2)-i(sqrt(3))/(2)]^(344)+3[-(1)/(2)+i(sqrt...

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  16. If x= omega^(3) sqrt(y)+ omega+ omega^(2) ""^(3) sqrt(z), then prove t...

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  17. Find the square root of (a^(2))/(b^(2))+(b^(2))/(a^(2))+(1)/(2i)((a)/(...

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  18. z(1) and z(2) are two non-zero complex numbers such that z(1)^(2)+z(1)...

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  19. Observing that 1^(3)=1, 2^(3)=3+5, 3^(3)=7+9+11, 4^(3)=13+15+17+19, fi...

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  20. Obtain the sum of (1)/(x+1)+(2)/(x^(2)+1)+(4)/(x^(4)+1)+...+ (2^(n))/(...

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