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AP EAMCET202317 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If = 3 5 and is not in the first quadrant, then 15 2 -20 2 -7 2 =

Options

  1. A-4
  2. B-12
  3. C12
  4. D4

Correct answer

D. 4

Step-by-step solution

Given: = 3 5 Since, is not in first quadrant then will be in second quadrant because is positive in first & second coordinate. = 1- ^2 =- 1- 9 25 =- 4 5 Now, 2 =2 =2 3 5 (- 9 5 )=- 24 25 aligned & 2 =2 ^2 -1=2 (- 4 5 )^2-1= 7 25 & 2 =- 24 7 aligned Now, 15 2 -20 2 -7 2 =15 . (- 24 25 )-20 7 25 -7 (- 24 7 )=4

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