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Prove that the ineuations (2x+1)/(7x-1) ...

Prove that the ineuations `(2x+1)/(7x-1) gt 5 and (x+7)/(x-8)gt2` have no solutions .

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. In an arithmetic progression of n terms ( n is even) , the two middle ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Let A and B be two comoplex numbers such that (A)/(B)+(B)/(A)=1. Prove...

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  18. Show that the complex numbers z(1),z(2),z(3) satisfying (z(1)-z(3))/(z...

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  19. If z(1),z(2),z(3) are complex numbers such that |z(1)|=|z(2)|=|Z(3)|=|...

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  20. Show that (666 ...n "times")^(2)+(888.... N times) =(444.... 2n times)...

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