PRACTICE EXERCISES 3.2 I. Find the center and radius cf each of the fellcwing circles. Draw a sketch cf each circle. 1. .13 +019 12x6}I+35=0 2. 4_r1+4yz4x+12y15= 3. _r2+y15x+y= 4. 5_r1+5;,-1119x+30y+15= 5. 3.1:: +3}!2 6x+12yl={} II. Determine whether the given equation represents a circle, a point, or an imaginary,-' circle (null set]. 1.11 +3,12 4_r={} 2.12 +3:2 +4x+6y+15= 3. .153 +3!2 2_r+4y+5= 4. 3.1:2 +33);2 +xSy+l= s. 4.11:3 +4}:1 lx12y+26 =0 PRACTICE EXERCISES 3.3 I. Find the equation of the circle satisfying the given conditions. 1. 2. Passing through the points (3. 0), (4. 2], and {0, l). Circumscrihing the triangle with vertices M2, 3}, B(3, 2). and C{~4, 3). . Tangent to the line it + y : 2 at the point {4, -2) and the center is on the :s-axis. . Tangent to the line 23. y = 3 at the point (2, l) and the center is on the y- axis. . Touching the line 3s 2y = 5 at {3. 2) and passing through (-2. l}. . Tangent to the line it + y = 3 at (2, 6] and passing through {4. 0). . Passing through the points (2, 3] and (- l, I] and has its center on the line 3s8y820. . Passing through the point {7", 9). tangent to the x-aais, and has its center on the line xy+l= . Tangent to the lines 2:: + y + 3 = 0 and it 2y 6 = 0 and the line of center is 3sy3=U