If = 1 2 and =- 5 3 where ( , 3 2 ) and ( 3 2 , ), then ( + ) has the value

MHT CET 2022 Mathematics question

If and where and , then has the value

Answer: (D)

(in the third quadrant tangent is positive, consistent). , and with in the second quadrant , so . Then

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Question ID VK-094169