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Question
Select the correct option from the given alternatives:
If the point (1, 1) lies on the line passing through the points (a, 0) and (0, b), then `1/"a" + 1/"b"` =
Options
−1
0
1
`1/"ab"`
Solution
1
Explanation;
Line passes through (a, 0), (0, b).
∴ x-intercept = a, y-intercept = b
∴ Equation of line is `x/"a" + y/"b"` = 1 ...(i)
Since line (i) passes through (1, 1), (1, 1) satisfies (i)
∴ `1/"a" + 1/"b"` = 1
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