উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।
ব্যাখ্যা ও সঠিক সমাধান
উত্তর:
x² + y² = 1 - 2x
2r sin² (θ/2) = r(1 - cos θ) = r - r cos θ = 1. Since r = √(x² + y²) and r cos θ = x, we have √(x² + y²) - x = 1 => √(x² + y²) = 1 + x. Squaring both sides: x² + y² = (1 + x)² = 1 + 2x + x² => y² = 1 + 2x. Wait, the provided solution says x² + y² = 1 + 2x. Let's recheck: r - r cos θ = 1 => r = 1 + x => r² = (1 + x)² => x² + y² = 1 + 2x + x² => y² = 1 + 2x. The option provided in the image is x² + y² = 1 + 2x.