[{"id":158737,"question":"The distance between the parallel lines 3x - 4y + 3 =0 and 3x -4y + 7 = 0 is:","choices":[{"text":"2/3","value":"A"},{"text":"9/13","value":"B"},{"text":"4/5","value":"C"},{"text":"7/12","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":158736,"question":"The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:","choices":[{"text":"2/3","value":"A"},{"text":"3/10","value":"B"},{"text":"8","value":"C"},{"text":"6/5","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":158735,"question":"The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:","choices":[{"text":"√29","value":"A"},{"text":"8/√29","value":"B"},{"text":"7 /√29","value":"C"},{"text":"29√7","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":158734,"question":"The distance from the point P(3,4) to the line y = 2x - 3 is:","choices":[{"text":"√5","value":"A"},{"text":"√3","value":"B"},{"text":"2√3","value":"C"},{"text":"1/√5","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":158733,"question":"The length of perpendicular from (3,1) to the line 4x + 3y +20 = 0 is:","choices":[{"text":"7","value":"A"},{"text":"5","value":"B"},{"text":"11","value":"C"},{"text":"12","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158732,"question":"The length of perpendicular form(-2,3) to the line y=2x-3 is:","choices":[{"text":"5√2","value":"A"},{"text":"6","value":"B"},{"text":"2√5","value":"C"},{"text":"7.5","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":158731,"question":"The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:","choices":[{"text":"5/7","value":"A"},{"text":"√52/7","value":"B"},{"text":"2/48","value":"C"},{"text":"49 /√52","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":158730,"question":"The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:","choices":[{"text":"(7,5)","value":"A"},{"text":"(1,2)","value":"B"},{"text":"(2,7)","value":"C"},{"text":"(7,0)","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":158729,"question":"The two lines x + y = 0 and 2x - y + 3 = 0 intersect at the point:","choices":[{"text":"(-1,1)","value":"A"},{"text":"(2,3)","value":"B"},{"text":"(1,3)","value":"C"},{"text":"(-1,2)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158728,"question":"The equation of the line through (-8, 5) having slope undefined is:","choices":[{"text":"y + 8 = 0","value":"A"},{"text":"y = 8","value":"B"},{"text":"y = x + 8","value":"C"},{"text":"x + 8 = 0","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":158727,"question":"If the line is parallel to they y-axis, then m is said to be:","choices":[{"text":"zero","value":"A"},{"text":"undefined","value":"B"},{"text":"1/2","value":"C"},{"text":"-1","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":158726,"question":"The slope of the line from B (2,-3) through A (0,3) is:","choices":[{"text":"-3","value":"A"},{"text":"1/3","value":"B"},{"text":"0","value":"C"},{"text":"undefined","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158725,"question":"The points A, B and C are said to be collinear if they:","choices":[{"text":"be on same line","value":"A"},{"text":"have same slope","value":"B"},{"text":"Lie on a same plane","value":"C"},{"text":"options a & b","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":158724,"question":"Axes remain parallel to the old axes, in:","choices":[{"text":"Translating of axes","value":"A"},{"text":"rotation of axes","value":"B"},{"text":"Translation and rotation of axes","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158723,"question":"In translation of axes,________is shifted to another point in the plane.","choices":[{"text":"a-axis","value":"A"},{"text":"y-axis","value":"B"},{"text":"origin","value":"C"},{"text":"Point","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":158722,"question":"Shifting origin to (-4,-6), the new coordinates of (-6,-8) are:","choices":[{"text":"(-1,2)","value":"A"},{"text":"(-2,-2)","value":"B"},{"text":"(1,-2)","value":"C"},{"text":"(3.-2)","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":158721,"question":"Shifting origin to (1,-2), the new coordinates of (4,5) are:","choices":[{"text":"(3,7)","value":"A"},{"text":"(5,3)","value":"B"},{"text":"(-3,7)","value":"C"},{"text":"(3,-7)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158720,"question":"Shifting origin to (-3,2), the new coordinate of (-2,6) are:","choices":[{"text":"(1,4)","value":"A"},{"text":"(2,4)","value":"B"},{"text":"(-1,3)","value":"C"},{"text":"(-1,4)","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":158719,"question":"Shifting origin to (-3,2), the new coordinates of (-6,9) are:","choices":[{"text":"(-9,7)","value":"A"},{"text":"(3,7)","value":"B"},{"text":"(-3,7)","value":"C"},{"text":"(3,-7)","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":158718,"question":"If points (5 , 5), (10 , x) and (-5 , 1) are collinear, x =","choices":[{"text":"5","value":"A"},{"text":"3","value":"B"},{"text":"9","value":"C"},{"text":"7","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":158717,"question":"The coordinates of a point which trisects segment joining (0,0) and (9,12) are:","choices":[{"text":"(4,3)(8,6)","value":"A"},{"text":"(4,3)(6,8)","value":"B"},{"text":"(3,4)(6,8)","value":"C"},{"text":"(3,4)(8,6)","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":158716,"question":"The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is:","choices":[{"text":"(-10,12)","value":"A"},{"text":"(12,-10)","value":"B"},{"text":"(12,10)","value":"C"},{"text":"(10,12)","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":158715,"question":"The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:","choices":[{"text":"(9,7)","value":"A"},{"text":"(2,7)","value":"B"},{"text":"(9,2)","value":"C"},{"text":"(7,9)","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":158714,"question":"The distance of a point (x cosθ , x sinθ ) from origin is:","choices":[{"text":"x","value":"A"},{"text":"x tanθ","value":"B"},{"text":"-tanθ","value":"C"},{"text":"-cotθ","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158713,"question":"If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:","choices":[{"text":"Ordinate","value":"A"},{"text":"Abscissa","value":"B"},{"text":"quadrant","value":"C"},{"text":"Cartesian","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":158712,"question":"Bisectors of angles of a triangle are:","choices":[{"text":"Collinear","value":"A"},{"text":"Concurrent","value":"B"},{"text":"Perpendicular","value":"C"},{"text":"zero","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":158711,"question":"The medians of a triangle are:","choices":[{"text":"Collinear","value":"A"},{"text":"Concurrent","value":"B"},{"text":"Perpendicular","value":"C"},{"text":"zero","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":158710,"question":"If the points (a,b), (x,y) and (a-x, b-y) are collinear, then ay =","choices":[{"text":"bx","value":"A"},{"text":"b-y","value":"B"},{"text":"a-x","value":"C"},{"text":"x","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158709,"question":"The points (a ,0),(0,b) and (3a , -2b) are:","choices":[{"text":"Collinear","value":"A"},{"text":"Vertices of isosceles triangle","value":"B"},{"text":"corner of a right-angled triangle","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":158708,"question":"If a point (p,q) is equidistant from the points (5,3) and (-2,-4), then p+ q =","choices":[{"text":"-1","value":"A"},{"text":"1","value":"B"},{"text":"3","value":"C"},{"text":"-3","value":"D"},{"value":"E"}],"correctAnswer":2}]