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If |z(1)| = |z(2)| = ….. |z(n)| = 1, pro...

If `|z_(1)| = |z_(2)| = ….. |z_(n)| = 1`, prove that `|z_(1) + z_(2) + …….. z_(n)| = |(1)/(z_(1)) + (1)/(z_(2)) + ……….. + (1)/(z_(n))|`.

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OMEGA PUBLICATION-SAMPLE QUESTIONS PAPER - 5 (PUNJAB)-Section C
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  8. The 4th term of a G.P. is square of second term and first term is -3. ...

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  9. Find the equation of the circle passing through the point (2,4) and ...

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  11. Evaluate : lim(x rarr 0)""(sin 5x)/(tan 3x).

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  13. If |z(1)| = |z(2)| = ….. |z(n)| = 1, prove that |z(1) + z(2) + …….. z(...

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  14. Express 1+isqrt3 in polar form.

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  15. A manufacture has 600 litres of a 12% solution of acid .How many litr...

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  16. Solve -2 - (x)/(4) le (1+x)/(3), 3-x lt 4 (x-3).

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  17. Use delta method to find the derivative of x sin x.

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  18. Find the maximum value of sin x cos x.

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  19. The mean and variance of 8 observation are 9 and 9.25 respectively. If...

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