Question

The cartesian coordinates of the point on the parabola y² = x whose parameter is ____________.

पर्याय

• `(4/9, 4/3)`

• `(4/9, -2/3)`

• `(4/3, 4/9)`

• `(4/3, -4/3)`

Answer 1

The cartesian coordinates of the point on the parabola y² = x whose parameter is `underline((4/9, -2/3)`.

Explanation:

Given parabola, y² = x

Parametric form of parabola is

x = `1/4 "t"^2` and y = `1/2` t

Here, t = `-4/3`

∴ x = `1/4 (-4/3)^2` and y = `1/2 (-4/3)`

x = `4/9` and y = `-2/3`

∴ Cartesian coordinate is `(4/9, -2/3)`