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[" If "cos alpha+cos beta=(3)/(2)" and "sin alpha+sin beta=(1)/(2)" and "theta" is the arithmetic mean of "alpha" and "beta" ,then "sin2 theta+cos2 theta],[" is equal to: "],[[" (1) "(7)/(5)," (JEE-MAIN ONLINE - 2015] "],[" (2) "(4)/(5)," (3) "(3)/(5)," (4) "(8)/(5)]]

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