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Cross Elasticity Coefficient is defined as when the price of a particular commodity rises how is the demand of another commodity changing. If the goods are complements like say for example petrol and petrol driven cars, if there is a price hike in petrol then demand for petrol cars would fall. Hence a negative cross elasticity of coefficient. On the other hand the demand for deisel cars would rise (given the deisel prices are constant) because they serve as substitutes, and will have a positive cross elasticity.

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Q: Are two goods complements if the cross-elasticity coefficient is negative?
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