Practicing Success
The slope of the tangent to the curve $x=at^2$, $y=2at$ at 't' is : |
$\frac{1}{t}$ $\frac{1}{t^2}$ $-\frac{1}{t}$ $-\frac{1}{t^2}$ |
$\frac{1}{t}$ |
slope of taregent = $\frac{d y}{d x}$ So $x=a t^2, y=2 a t$ so differentiating x, y w.r.t t so $\frac{d x}{d t}=2 at$ ........(1) $\frac{d y}{d t}=2 a$ ........(2) dividing (2) by (1) we get \frac{d y}{d x}=\frac{2 a}{2 a t}=\frac{1}{t} |