[{"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},{"id":241958,"question":"Two imaginary 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":1},{"id":241957,"question":"Perpendicular dropped from the center of a circle on a chord _______ the chord:","choices":[{"text":"Normal","value":"A"},{"text":"Bisects","value":"B"},{"text":"Equal to","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241956,"question":"If a circle and a line intersect in two points, then the line is called:","choices":[{"text":"A chord","value":"A"},{"text":"A secant","value":"B"},{"text":"A diameter","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241955,"question":"Two arcs of two different circles are congruent if:","choices":[{"text":"The circles are congruent","value":"A"},{"text":"The corresponding central angles are congruent","value":"B"},{"text":"Both a and b","value":"C"},{"text":"None of the above","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241954,"question":"The condition for the line y = mx + c to be a tangent to the circle x<sup>2</sup> + y<sup>2</sup> = a<sup>2</sup> is c = _____________:","choices":[{"text":"","img":"241954_637759415494236538-RA1.png","value":"A"},{"text":"","img":"241954_637759415494236538-RA2.png","value":"B"},{"text":"","img":"241954_637759415494236538-RA3.png","value":"C"},{"text":"","img":"241954_637759415494236538-RA4.png","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241953,"question":"Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:","choices":[{"text":"1 cm","value":"A"},{"text":"7cm","value":"B"},{"text":"4cm","value":"C"},{"text":"5cm","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241952,"question":"One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:","choices":[{"text":"30°, 110°","value":"A"},{"text":"40°, 100°","value":"B"},{"text":"50°, 90°","value":"C"},{"text":"20°, 120°","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241951,"question":"A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:","choices":[{"text":"4 cm","value":"A"},{"text":"3cm","value":"B"},{"text":"2.5cm","value":"C"},{"text":"3.4cm","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241950,"question":"A line through a point say P perpendicular to the tangent to the curve at P is called:","choices":[{"text":"Straight line","value":"A"},{"text":"Tangent line","value":"B"},{"text":"Normal line","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3}]