[{"id":241869,"question":"The pair of lines of homogeneous second-degree equation ax<sup>2</sup> + 2hxy + by<sup>2</sup> = 0 are real and coincident, if:","choices":[{"text":"h<sup>2</sup> &lt; ab","value":"A"},{"text":"h<sup>2</sup>&gt; ab","value":"B"},{"text":"h<sup>2</sup>= ab","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241868,"question":"ax + by + c = 0 has matrix from as:","choices":[{"text":"","img":"241868_637759348916274335-RA1.png","value":"A"},{"text":"|ax + by| = |-c|","value":"B"},{"text":"[ax + by ] = [c]","value":"C"},{"text":"[ax - by] = [-c]","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241867,"question":"","questionImage":"241867_637759347901047197-RQ.png","choices":[{"text":"0","value":"A"},{"text":"2","value":"B"},{"text":"1","value":"C"},{"text":"-1","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241866,"question":"Point of intersection of x + y = 5 &amp; x - y = 3 is:","choices":[{"text":"(5, 5)","value":"A"},{"text":"(4, 2)","value":"B"},{"text":"(4, 1)","value":"C"},{"text":"(1, 4)","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241865,"question":"Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:","choices":[{"text":"(1, 0)","value":"A"},{"text":"(0, 1)","value":"B"},{"text":"(-1, 0)","value":"C"},{"text":"(0, -1)","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241864,"question":"Angle between the lines x + y + 1 = 0 &amp; x - y + 4 = 0 is:","choices":[{"text":"30°","value":"A"},{"text":"45°","value":"B"},{"text":"60°","value":"C"},{"text":"90°","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241863,"question":"The line y = a is below the x-axis, if:","choices":[{"text":"a &gt; 0","value":"A"},{"text":"a &lt; 0","value":"B"},{"text":"a = 0","value":"C"},{"text":"","img":"241863_637758803031334368-RA4.png","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241862,"question":"The point (2, 5) lies the lie 3x - y + 1 = 0","choices":[{"text":"Above","value":"A"},{"text":"Below","value":"B"},{"text":"On","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241861,"question":"The point (5, 8) lies the line 2x - 3y + 6 = 0","choices":[{"text":"Above","value":"A"},{"text":"Below","value":"B"},{"text":"On","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241860,"question":"The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:","choices":[{"text":"0","value":"A"},{"text":"1","value":"B"},{"text":"2","value":"C"},{"text":"3","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241859,"question":"The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:","choices":[{"text":"3x + 2y - 8 = 0","value":"A"},{"text":"3x - 2y + 8 = 0","value":"B"},{"text":"3x - 2y - 8 = 0","value":"C"},{"text":"3x + 2y + 8 = 0","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241858,"question":"General form of equation of line is:","choices":[{"text":"ax - by + c = 0","value":"A"},{"text":"ax + by - c = 0","value":"B"},{"text":"ax + by + c = 0","value":"C"},{"text":"ax - by - c = 0","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241857,"question":"The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:","choices":[{"text":"x + y + 7 = 0","value":"A"},{"text":"x - y + 7 = 0","value":"B"},{"text":"y - x + 7 = 0","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241856,"question":"y = 2x + 3 is the;","choices":[{"text":"Slope-intercept form","value":"A"},{"text":"Two points form","value":"B"},{"text":"Point slope form","value":"C"},{"text":"Intercepts form","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241855,"question":"y = mx + c is the equation of straight line in:","choices":[{"text":"Slope-intercept form","value":"A"},{"text":"Two points from","value":"B"},{"text":"Point slope form","value":"C"},{"text":"Intercepts form","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241854,"question":"y - y1 = m ( x - x1) is the equation of straight line in:","choices":[{"text":"Slope-intercept from","value":"A"},{"text":"Point-slope from","value":"B"},{"text":"Normal form","value":"C"},{"text":"Intercepts form","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241853,"question":"x = c is a line:","choices":[{"text":"Perpendicular to x-axis","value":"A"},{"text":"Parallel to x-axis","value":"B"},{"text":"Perpendicular to y-axis","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241852,"question":"x = 4 is a line:","choices":[{"text":"Parallel to x - axis","value":"A"},{"text":"Parallel to y - axis","value":"B"},{"text":"Perpendicular to y-axis","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241851,"question":"The line y = c is above the x - axis, if:","choices":[{"text":"c &gt; 0","value":"A"},{"text":"c &lt; 0","value":"B"},{"text":"c = 0","value":"C"},{"text":"","img":"241851_637758797734171602-RA4.png","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241850,"question":"If a = 0, then the line ax + by + c = 0 is parallel to:","choices":[{"text":"y - axis","value":"A"},{"text":"x - axis","value":"B"},{"text":"along y - axis","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2}]