A curve passes through \((-2,-2)\) and its slope at the point \((x,y)\) is given by \(\dfrac 1 {x\sqrt{x^{2}-1}}\). Which of the following points the curve also passes through?

- A: \(\ \ \left(-\dfrac{2}{\sqrt{3}}, \ -\dfrac{\pi}{6}-2\right)\)
- B: \(\ \ \left(-\dfrac{2}{\sqrt{3}}, \ \dfrac{\pi}{6}-2\right)\)
- C: \(\ \ \left(-\sqrt{2}, \ -\dfrac{\pi}{12}-2\right)\)
- D: \(\ \ \left(-\sqrt{2}, \ \dfrac{\pi}{12}-2\right)\)

×

Problem Loading...

Note Loading...

Set Loading...