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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.
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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