Question

The line x − y + 2 = 0 touches the parabola y² = 8x at the point

Options

• (2, −4)

• (1, 2√2)

• (4, −4√2)

• (2, 4)

Answer 1

(2, 4)

Explanation:

The line y = mx + c touches the parabola

y² = 4ax at the point \[\left(\frac{a}{m^2},\frac{2a}{m}\right)\]

Here, a = 2 and m = 1

⇒ The point is (2, 4)