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NDA Math Trigonometric Ratios of Angles and Equations Part 2

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Read the following information and answer the three items that follow:
Let asin⁡2x+bcos⁡2x=c;bsin⁡2y+acos⁡2y=da \sin^{2} x + b \cos^{2} x = c ; b \sin^{2} y + a \cos^{2} y = d and ptan⁡x=qtan⁡yp \tan x = q \tan y.
[NDA-I 2020]
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