Are cynicism and naïveté mutually exclusive?

Are cynicism and naïveté mutually exclusive?
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No, only a cynic would consider someone not cynical as naive. There are a lot of people with a positive outlook on life that are not naive nor are they cynical. I am one, I am well aware of many base aspects of people and situations, but I also know that most of the world is generally positive and attempting as best they can to bring light to the world.
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Description : if xylogxy/x+y, yzlogyz/y+z and zxlogzx/z+x are mutually equal, then show that x^x= y^y=z^z -Maths 9th

Last Answer : This answer was deleted by our moderators...

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Show that vectors a = 2i + 3j + 6k, b = 3i - 6j + 2k and c = 6i + 2j - 3k are mutually perpendicular.

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