An equation of a circle touching the axes of coordinates and the line can be

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

An equation of a circle touching the axes of coordinates and the line xcos⁡α+ysin⁡α=2x \cos \alpha + y \sin \alpha = 2 can be (1) x2+y2−2gx−2gy+g2=0x^2 + y^2 - 2gx - 2gy + g^2 = 0 , where g=2(cos⁡α+sin⁡α+1)g = \frac{2}{(\cos \alpha + \sin \alpha + 1)} (2) x2+y2−2gx−2gy+g2=0x^2 + y^2 - 2gx - 2gy + g^2 = 0 , where g=2(cos⁡α+sin⁡α−1)g = \frac{2}{(\cos \alpha + \sin \alpha - 1)} (3) x2+y2−2gx+2gy+g2=0x^2 + y^2 - 2gx + 2gy + g^2 = 0 , where g=2(cos⁡α−sin⁡α+1)g = \frac{2}{(\cos \alpha - \sin \alpha + 1)} (4) x2+y2−2gx+2gy+g2=0x^2 + y^2 - 2gx + 2gy + g^2 = 0 , where g=2(cos⁡α−sin⁡α−1)g = \frac{2}{(\cos \alpha - \sin \alpha - 1)}

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