[{"id":241978,"question":"<div><font color=\"#000000\" face=\"Times New Roman\" size=\"3\">The opening of the parabola y<sup>2</sup> = 4ax is to the ________ of the:</font></div><div></div>","choices":[{"text":"Left","value":"A"},{"text":"Upward","value":"B"},{"text":"Right","value":"C"},{"text":"Downward","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241977,"question":"If the equation of the parabola is x<sup>2</sup> = 4ay, then opening of the parabola is to _______ of the x-axis:","choices":[{"text":"Left","value":"A"},{"text":"Upward","value":"B"},{"text":"Right","value":"C"},{"text":"Downward","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241976,"question":"If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:","choices":[{"text":"x-axis","value":"A"},{"text":"y = x","value":"B"},{"text":"y-axis","value":"C"},{"text":"x + y =0","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241975,"question":"The graph of the parabola y<sup>2</sup> = -4ax lies in quadrants:","choices":[{"text":"I and II","value":"A"},{"text":"III and IV","value":"B"},{"text":"II and III","value":"C"},{"text":"I and III","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241974,"question":"The graph of the parabola x<sup>2</sup> = -4ay lies in quadrants:","choices":[{"text":"I and II","value":"A"},{"text":"III and IV","value":"B"},{"text":"II and III","value":"C"},{"text":"I and III","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241973,"question":"The parabola y<sup>2</sup> = 4ax lies in quadrants:","choices":[{"text":"I and II","value":"A"},{"text":"III and IV","value":"B"},{"text":"II and III","value":"C"},{"text":"I and IV","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241972,"question":"The graph of the the parabola x<sup>2</sup> = 4ay lies in quadrant:","choices":[{"text":"I and II","value":"A"},{"text":"III and IV","value":"B"},{"text":"II and III","value":"C"},{"text":"I and III","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241971,"question":"A chord passing through the focus of a parabola is called a ________ of the parabola:","choices":[{"text":"Directrix","value":"A"},{"text":"Latus rectum","value":"B"},{"text":"Focus","value":"C"},{"text":"Focal chord","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241970,"question":"A line segment joining two distinct points on a parabola is called a ___________ of the parabola:","choices":[{"text":"Chord","value":"A"},{"text":"Vertex","value":"B"},{"text":"Focus","value":"C"},{"text":"Directrix","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241969,"question":"The number e denotes the _______ of the conic:","choices":[{"text":"Directrix","value":"A"},{"text":"Vertex","value":"B"},{"text":"Focus","value":"C"},{"text":"Eccentricity","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241968,"question":"If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:","choices":[{"text":"x<sup>2</sup> = 4ay","value":"A"},{"text":"-x<sup>2</sup>= 4ay","value":"B"},{"text":"-y<sup>2</sup>= 4ax","value":"C"},{"text":"y<sup>2</sup>= 4ax","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241967,"question":"The directrix of the parabola x<sup>2</sup> = 4ay is:","choices":[{"text":"x = a","value":"A"},{"text":"x = -a","value":"B"},{"text":"y = a","value":"C"},{"text":"y = -a","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241966,"question":"The conic is a parabola, if:","choices":[{"text":"e = 1","value":"A"},{"text":"e &gt; 1","value":"B"},{"text":"0 &lt; e &lt; 1","value":"C"},{"text":"e = 0","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241965,"question":"If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:","choices":[{"text":"x<sup>2</sup> = 4ay","value":"A"},{"text":"y<sup>2</sup>= 4ax","value":"B"},{"text":"-x<sup>2</sup>= 4ay","value":"C"},{"text":"-y<sup>2</sup>= 4ax","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241964,"question":"y<sup>2</sup> = 4ax, is the standard equation of the:","choices":[{"text":"Ellipse","value":"A"},{"text":"Parabola","value":"B"},{"text":"Hyperbola","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241963,"question":"","questionImage":"241963_637759419546659554-RQ.png","choices":[{"text":"","img":"241963_637759419546659554-RA1.png","value":"A"},{"text":"0","value":"B"},{"text":"4","value":"C"},{"text":"7","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241962,"question":"Length of tangent from (a, 0) to the circle x<sup>2</sup> + y<sup>2</sup> + 2gx + 2fy + c = 0 is:","choices":[{"text":"","img":"241962_637759418675050012-RA1.png","value":"A"},{"text":"c","value":"B"},{"text":"2g + 2f -c","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241961,"question":"Length of tangent from (0,1) to x<sup>2</sup> + y<sup>2</sup> + 6x - 3y + 3 = 0","choices":[{"text":"2","value":"A"},{"text":"1","value":"B"},{"text":"4","value":"C"},{"text":"3","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241960,"question":"Two real and distinct tangents can be drawn to a circle from any point P(x<sub>1</sub>, y<sub>1</sub>) ______ the circle:","choices":[{"text":"Inside","value":"A"},{"text":"On","value":"B"},{"text":"Outside","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241959,"question":"An angle in a semi-circle is:","choices":[{"text":"0°","value":"A"},{"text":"90°","value":"B"},{"text":"180°","value":"C"},{"text":"60°","value":"D"},{"value":"E"}],"correctAnswer":2}]