The cartesian co-ordinates of the point on the parabola $y^{2}=x$ whose parameter is $\frac{-4}{3}$ are
The cartesian co-ordinates of the point on the parabola $y^{2}=x$ whose parameter is $\frac{-4}{3}$ are
- $\left(\frac{4}{9}, \frac{4}{3}\right)$
- $\left(\frac{4}{3}, \frac{-4}{3}\right)$
- $\left(\frac{4}{3}, \frac{4}{9}\right)$
- $\left(\frac{4}{9}, \frac{-2}{3}\right)$
Solution
$y^{2}=x \quad t=-4 / 3$
$a=\frac{1}{4}$
$\left(a t^{2}, 2 a t\right)$
$=\left(\frac{1}{4} \cdot \frac{16}{9} 4, \frac{-2}{3}\right)=\left(\frac{4}{9}, \frac{-2}{3}\right)$
Asked in: MHT CET 2020 (16 Oct Shift 1)
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