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  1. \((\frac{{3\pi }}{2} < x < 2\pi )\) a is positive and b is negative
  2. \((0 < x < \frac{\pi }{2})\) a is positive and b is negative
  3. \((\frac{\pi }{2} < x < \pi )\) a is positive and b is negative
  4. \((\pi < x < \frac{{3\pi }}{2})\) a is positive and b is negative
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1 Answers

Option 1 : \((\frac{{3\pi }}{2} < x < 2\pi )\) a is positive and b is negative

Explanation:

For Ist quadrant : x > 0, y > 0 and 0 < θ < π/2

For IInd quadrant : x < 0, y > 0 and π/2 < θ < π

For IIIrd quadrant : x < 0, y < 0 and π < θ < 3π/2

For IVth quadrant : x > 0, y < 0 and 3π/2 < θ < 2π

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