IPMAT IndoreGeometry > Hard4263✅ Correct Option: 3Related questions:IPMAT Indore 2025A circle touches the y-axis at (0,4)(0, 4)(0,4) and passes through the point (−2,0)(-2, 0)(−2,0). Then the radius of the circle isIPMAT Indore 2023In the xy-plane let A=(−2,0),B=(2,0)A = (- 2, 0), B = (2, 0)A=(−2,0),B=(2,0) . Define the set S as the collection of all points C on the circle x2+y2=4x ^ 2 + y ^ 2 = 4x2+y2=4 such that the area of the triangle ABC is an integer. The number of points in the set S isIPMAT Indore 2024If θ\thetaθ is the angle between the pair of tangents drawn from the point (0,72)(0,\frac{7}{2})(0,27) to the circle x2+y2−14x+16y+88=0x^2 + y^2 - 14x + 16y + 88 = 0x2+y2−14x+16y+88=0, then tanθ\tan \thetatanθ equals