CATGeometry > Hard4+23:14+2\sqrt{3}:14+23:17+43:17+4\sqrt{3}:17+43:12+3:12+\sqrt{3}:12+3:14+3:14+\sqrt{3}:14+3:1✅ Correct Option: 2Related questions:CAT 2023 Slot 1Let CCC be the circle x2+y2+4x−6y−3=0x^2 + y^2 + 4x - 6y - 3 = 0x2+y2+4x−6y−3=0 and LLL be the locus of the point of intersection of a pair of tangents to CCC with the angle between the two tangents equal to 60°60°60°. Then, the point at which LLL touches the line x=6x = 6x=6 isCAT 2020 Slot 3The vertices of a triangle are (0,0)(0,0)(0,0), and (4,0)(4,0)(4,0) and (3,9)(3,9)(3,9). The area of the circle passing through these three points isCAT 2020 Slot 1On a rectangular metal sheet of area 135sq135 \mathrm{sq}135sq in, a circle is painted such that the circle touches two opposite sides. If the are the sheet left unpainted is two-thirds of the painted area then the perimeter of the rectangle in inches is