Which of the following latitudes is a great circle?

Equator

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66^{o}

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20^{o}

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23^{o}

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Solution

The correct option is A Equator
The Equator is at 0°, and the North Pole and South Pole are at 90° north and 90° south, respectively. The Equator is the longest circle of latitude and is the only circle of latitude which also is a great circle.
The correct answer is A.

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\frac{{cosec}^{2} 67^{o} - {tan}^{2} 23^{o}}{{sec}^{2} 20^{o} - {cot}^{2} 70^{o}}

Δ P Q R, ∠ Q = 23^{o}

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