UPSC NDA I 2023 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :
A flagstaff 20m long standing on a pillar 10m high subtends an angle tan−1(0⋅5) at a point P on the ground. Let θ be the angle subtended by the pillar at this point P.
[NDA I 2023]
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Question : 33 of 120
 
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If x is the distance of P from bottom of the pillar, then consider the following statements :
1. x can take two values which are in the ratio 1:3
2. x can be equal to height of the flagstaff
Which of the statements given above is/are correct?
[NDA I 2023]
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