UPSC CDS II 2024 Math Paper

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Question Numbers: 51-53
Consider the following for the items that follow: 
Let ABC be a triangle right-angled at B. Let P be the point on BC such that BP = PC. If AB = 10 cm, ∠BAP = 45° and ∠CAP = θ
( use tan(α+β)=
tanα+tanβ
1tanαtanβ
)

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Question : 53 of 100
 
Marks: +1, -0
Consider the following statements :
I. The line segment AP divides the area of the triangle ABC into two equal parts
II. The perimeter of the triangle APC is more than 46 cm
III. The area of the triangle APC is 50 square cm
Which of the statements given above are correct?
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