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3 D 10666
Section C

Answer any two questions.

Each question carries 10 marks.

24. Examine whether x* — x°— x? +19x — 42 =0 has integral roots or not.

25. Solve x? —-6x—6=0 by Cardan’s method.
26. Let Gbea cyclic group. Show that :

(a) If Gisinfinite then G =Z.

(b) If|G|=n,then G=Z,,.

27. State and prove Lagrange’s theorem.

(2 x 10 = 20 marks)

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