UPSC CDS 2 2023 Math Paper

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Question Numbers: 35-36
Consider the following for the next  items that follow:
Two parallel chords AB and CD of a circle are of lengths 60 cm and 80 cm respectively. They are on the same side of the centre O and 10 cm apart.
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Question : 36 of 100
 
Marks: +1, -0
​If the chord AB subtends an angle α and chord CD subtends an angle β at the centre O, then what is the value of tan(
β
2
)
tan(
α
2
)
?
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