[{"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},{"id":241918,"question":"-4 &lt; y &lt; 4 is the solution of the following:","choices":[{"text":"y = 5","value":"A"},{"text":"y = 3","value":"B"},{"text":"y = -4","value":"C"},{"text":"y = 4","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241917,"question":"The ordered pair _____ is a solution of the inequality x + 2y &lt; 6.","choices":[{"text":"(3, 3)","value":"A"},{"text":"(1, 1)","value":"B"},{"text":"(4, 4)","value":"C"},{"text":"(5, 5)","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241916,"question":"","questionImage":"241916_637759375508797319-RQ.png","choices":[{"text":"(1, 1)","value":"A"},{"text":"(1, 3)","value":"B"},{"text":"(1, 4)","value":"C"},{"text":"(1, 5)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241915,"question":"x = 4 is the solution of inequality:","choices":[{"text":"x + 3 &gt; 0","value":"A"},{"text":"x - 3 &lt; 0","value":"B"},{"text":"-2x + 3 &gt; 0","value":"C"},{"text":"x + 3 &lt; 0","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241914,"question":"(1, 0) is the solution of inequality :","choices":[{"text":"7x + 2y &lt; 8","value":"A"},{"text":"x - 3y &lt; 0","value":"B"},{"text":"3x + 5y &gt; 6","value":"C"},{"text":"-3x + 5y &gt; 2","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241913,"question":"A function, which is to be maximized or minimized is called an ________:","choices":[{"text":"Maximum function","value":"A"},{"text":"Objective funciton","value":"B"},{"text":"Minimum function","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241912,"question":"The feasible solution, which maximizes or minimizes the objective function, is called the _________:","choices":[{"text":"Maximum solution","value":"A"},{"text":"Optimal solution","value":"B"},{"text":"Minimum solutions","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241911,"question":"If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:","choices":[{"text":"Maximum","value":"A"},{"text":"Vertex","value":"B"},{"text":"Minimum","value":"C"},{"text":"Convex","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241910,"question":"The system of _________ involved in the problem concerned is called problem constraints:","choices":[{"text":"Linear inequalities","value":"A"},{"text":"Equations","value":"B"},{"text":"Linear equalities","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1}]