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The ratio of the sum of n terms of two A.P.s is (7n+1):(4n+27).Find the ratio of their mth term.

if tan

~~o~~+sin~~o~~= m,tan~~o~~-sin~~o~~=n,prove that m^{2}-n^{2}=4root mnIf the angle of elevation of a cloud from a point

hmetres above a lake isalphaand the angle of depression of its reflection isbeta. Prove that the height of cloud ish(tan beta + tan alpha)/ tan beta - tan alpha