Let P and Q be the points on the positive x-axis and positive y-axis respectively. A point N(2, 1) divides the line segment PQ in the ratio 1:2. What is the equation of the line?

NDA 2026 Mathematics question

Let and be the points on the positive -axis and positive -axis respectively. A point divides the line segment in the ratio . What is the equation of the line?

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Let and . With , the section formula gives \dfrac{2p+0}{3}$,

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Question ID VK-030428