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"`

Answer 1

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