Let and be nonzero real numbers such that 2( - )+ =1. Then which of the following is/are true?

JEE Advanced 2017 Mathematics question

Let and be nonzero real numbers such that . Then which of the following is/are true?

Answer: (A),(C)

Official scoring status: BONUS / +4 TO ALL (awarded after internal review). Let , , so and . Multiplying the equation by : , which simplifies to

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Question ID VK-026690