What is the equation of straight line passing through the point of intersection of the lines x 2 + y 3 =1 and x 3 + y 2 =1, and parallel to the line 4x+5y-6=0?

NDA 2018 Mathematics question

What is the equation of straight line passing through the point of intersection of the lines and , and parallel to the line ?

Answer: (A)

The lines are and ; by symmetry . A line parallel to

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Question ID VK-028986