Question

If x^2/a^2-y^2/a^2=1.dy/dx can be expressed as

Answer 1

Answer:

$\frac{dy}{dx} = \frac{x}{y}$

Step-by-step explanation:

$\frac{x^{2} }{ {a}^{2} } - \frac{ {y}^{2} }{ {a}^{2} } = 1$

On taking L.C.M.

$\frac{ {x}^{2} - {y}^{2} }{ {a}^{2} } = 1 \\ {x }^{2} - {y}^{2} = {a}^{2}$

Differentiating both side with respect to x

$\frac{d}{dx} ( {x}^{2} ) - \frac{d}{dx} ( {y}^{2} ) = \frac{d}{dx} (1)$

$2x - 2y. \frac{dy}{dx} = 0$

$2x = 2y. \frac{dy}{dx} \\ \frac{2x}{2y} = \frac{dy}{dx}$

$\frac{ x}{y} = \frac{dy}{dx}$

Answer 2

ANSWER

check out the above attachment