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Question
Answer the following question:
Show that there is only one line which passes through B(5, 5) and the sum of whose intercept is zero.
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Solution
When line is passing through origin, the sum of intercepts made by the line is zero.
Slope of line passing through origin and B(5, 5) is
m = `(5 - 0)/(5 - 0)` = 1
∴ Equation of the line having slope m and passing through origin (0, 0) is y = mx.
∴ The equation of the required line is y = x
∴ x – y = 0
∴ There is only one line which passes through B(5, 5) and the sum of whose intercepts is zero.
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