જો $A = \{x \in [0, 2\pi] : \tan x - \tan^2 x > 0\}$ અને $B = \{x \in [0, 2\pi] : |\sin x| < \frac{1}{2}\}$,હોય,તો $A \cap B =$

  • A
    $\left(0, \frac{\pi}{6}\right) \cup \left(\pi, \frac{7\pi}{6}\right)$
  • B
    $\left(0, \frac{\pi}{4}\right) \cup \left(\pi, \frac{7\pi}{6}\right)$
  • C
    $\left(0, \frac{\pi}{6}\right) \cup \left(\frac{5\pi}{6}, \frac{7\pi}{6}\right)$
  • D
    $\left(\frac{\pi}{6}, \frac{7\pi}{6}\right)$

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ધારો કે $P(\alpha, \beta)$ અને $Q(\gamma, \delta)$ એ $XY$-સમતલમાં વક્ર $\tan^2(x+y) + \cos^2(x+y) + y^2 + 2y = 0$ પર આવેલા બે બિંદુઓ છે. જો $P$ અને $Q$ વચ્ચેનું અંતર $d$ હોય,તો $\cos d =$

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