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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesGeneral (Standard forms)Medium2 minQB

MathematicsMediumsingle choice

Let $m_{A B}$ denote slope. Points $A_{i} (x_{i}, y_{i})$ have both $(x_{i})$ and $(y_{i})$ in arithmetic progression. Find $m_{A_{1} A_{2}} + \dots + m_{A_{n - 1} A_{n}}$ .

Options:

Answer:

Solution:

Every successive slope equals $(y_{n} - y_{1}) / (x_{n} - x_{1}) = m_{A_{1} A_{n}}$ , and there are $n - 1$ terms.

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:General (Standard forms)

⏱ 2mℹ️ Source: QB

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