If A, B and C are in AP, then the straight line Ax+2By+C=0 will always pass through a fixed point. The fixed point is

NDA 2021 Mathematics question

If , and are in AP, then the straight line will always pass through a fixed point. The fixed point is

Answer: (D)

Since , , are in AP, , i.e. . Rewrite this as and compare with : the point , satisfies the line for all such ,

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Question ID VK-033550