Question

Select the correct option from the given alternatives:

If A is (5, −3) and B is a point on the x-axis such that the slope of line AB is −2 then B ≡

Options

• (7, 2)

• `(7/2, 0)`

• `(0, 7/2)`

• `(2/7, 0)`

Answer 1

`(7/2, 0)`

Explanation:

Let B(x, 0) be the point on X-axis.

We have A = (5, −3)

slope of AB = −2

∴ `(0-(-3))/("x"-5)` = −2

∴ 3 = −2(x − 5)

∴ 3 = −2x + 10

∴ x = `7/2`

∴ Co-ordinates of point B = `(7/2,0)`