[{"id":241938,"question":"The radius of circle x<sup>2</sup> + y<sup>2</sup> + 2gx + 2fy + c = 0 is:","choices":[{"text":"","img":"241938_637759405476846458-RA1.png","value":"A"},{"text":"","img":"241938_637759405476846458-RA2.png","value":"B"},{"text":"","img":"241938_637759405476846458-RA3.png","value":"C"},{"text":"","img":"241938_637759405476846458-RA4.png","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241937,"question":"The center of circle x<sup>2</sup> + y<sup>2</sup> + 2gx + 2fy + c = 0 is:","choices":[{"text":"(-g, -f)","value":"A"},{"text":"(-f, -g)","value":"B"},{"text":"(0, 0)","value":"C"},{"text":"(g, f)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241936,"question":"If equation of circle is (x - h)<sup>2</sup> + (y - k)<sup>2</sup> = r<sup>2</sup>, then center of a circle:","choices":[{"text":"(-h, -k)","value":"A"},{"text":"(h, k)","value":"B"},{"text":"(-h, k)","value":"C"},{"text":"(h, -k)","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241935,"question":"The center of circle (x+3)<sup>2</sup> + (y-2)<sup>2</sup> = 16 equals:","choices":[{"text":"(-3, 2)","value":"A"},{"text":"(3, -2)","value":"B"},{"text":"(3, 2)","value":"C"},{"text":"(-3, -2)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241934,"question":"Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.","choices":[{"text":"Equal","value":"A"},{"text":"Double","value":"B"},{"text":"Not equal to","value":"C"},{"text":"Triple","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241933,"question":"A line segment whose end points lie on the circle is called a __________ of the circle.","choices":[{"text":"Radius","value":"A"},{"text":"Chord","value":"B"},{"text":"Diameter","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241932,"question":"The equation x<sup>2</sup> + y<sup>2</sup> + 2x + 3y = 10 represents a:","choices":[{"text":"A pair of lines","value":"A"},{"text":"Circle","value":"B"},{"text":"Ellipse","value":"C"},{"text":"Hyperbola","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241931,"question":"The distance between the center of a circle and any point of the circle is called:","choices":[{"text":"Tangents","value":"A"},{"text":"Secant","value":"B"},{"text":"Diameter","value":"C"},{"text":"Radius","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241930,"question":"The ratio between the measure of the radial segment and the diameter of a circle is:","choices":[{"text":"2 : 1","value":"A"},{"text":"4 : 3","value":"B"},{"text":"1 : 2","value":"C"},{"text":"","img":"241930_637759397773982287-RA4.png","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241929,"question":"A chord containing the center of the circle is called ______ of the circle:","choices":[{"text":"Diameter","value":"A"},{"text":"Chord","value":"B"},{"text":"Radius","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241928,"question":"In equation of circle, coefficient of each of x<sup>2</sup> and y<sup>2</sup> are:","choices":[{"text":"Not equal","value":"A"},{"text":"Opposite in signs","value":"B"},{"text":"Equal","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241927,"question":"If r is the radius of the circle and its center is at origin, then equation of circle is:","choices":[{"text":"x<sup>2</sup> + y<sup>2</sup> = a<sup>2</sup>","value":"A"},{"text":"x<sup>2</sup> + y<sup>2</sup> = r<sup>2</sup>","value":"B"},{"text":"x<sup>2</sup> - y<sup>2</sup> = a<sup>2</sup>","value":"C"},{"text":"x<sup>2</sup> - y<sup>2</sup> = r<sup>2</sup>","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241926,"question":"If the radius of a circle is zero, then the circle is called a / an:","choices":[{"text":"Circle","value":"A"},{"text":"Circular cone","value":"B"},{"text":"Ellipse","value":"C"},{"text":"Point circle","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241925,"question":"The set of all points in the plane that are equally distant from a fixed point is called a / an:","choices":[{"text":"Circle","value":"A"},{"text":"Circular cone","value":"B"},{"text":"Ellipse","value":"C"},{"text":"Point circle","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241924,"question":"If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:","choices":[{"text":"Parabola","value":"A"},{"text":"Hyperbola","value":"B"},{"text":"Ellipse","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241923,"question":"If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:","choices":[{"text":"Ellipse","value":"A"},{"text":"Circular cone","value":"B"},{"text":"Circle","value":"C"},{"text":"Point circle","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241922,"question":"If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:","choices":[{"text":"Parabola","value":"A"},{"text":"Circular cone","value":"B"},{"text":"Ellipse","value":"C"},{"text":"Circle","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241921,"question":"The fixed point of the conic is called:","choices":[{"text":"Directrix","value":"A"},{"text":"Vertex","value":"B"},{"text":"Focus","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241920,"question":"The two parts of a right circular cones are called:","choices":[{"text":"Nappes","value":"A"},{"text":"Apex of the cone","value":"B"},{"text":"Generator","value":"C"},{"text":"Vertex","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241919,"question":"The curves obtained by cutting a __________ double right circular cone by a _______ are called conics:","choices":[{"text":"Straight line","value":"A"},{"text":"Plane","value":"B"},{"text":"Curve","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2}]