[{"id":13619,"question":"Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then","choices":[{"text":"α = β","value":"A"},{"text":"αβ = 1","value":"B"},{"text":"α = β","value":"C"},{"text":"α = 1","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13618,"question":"Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if","choices":[{"text":"c = 0","value":"A"},{"text":"c = 0,b≠ 0","value":"B"},{"text":"b = 0,c = 0","value":"C"},{"text":"b = 0,c≠ 0","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13617,"question":"The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is","choices":[{"text":"a > 0","value":"A"},{"text":"a < 0","value":"B"},{"text":"a≠ 0","value":"C"},{"text":"a≠ 0,b ≠ 0","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13616,"question":"The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is","choices":[{"text":"2 x 3","value":"A"},{"text":"3 x 2","value":"B"},{"text":"2 x 5","value":"C"},{"text":"5 x 2","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13615,"question":"If for the matrix A,A5 = 1,then A-1=","choices":[{"text":"A2","value":"A"},{"text":"A3","value":"B"},{"text":"A","value":"C"},{"text":"None of above","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13614,"question":"For a square matrix A, if A = At, then A is called","choices":[{"text":"Matrix","value":"A"},{"text":"Transpose","value":"B"},{"text":"Symmetric","value":"C"},{"text":"Non-symmetric","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13613,"question":"If A = |aij| is (m x n) matrix then transpose of A is of the order","choices":[{"text":"m x m","value":"A"},{"text":"m x n","value":"B"},{"text":"n x n","value":"C"},{"text":"n x m","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":13612,"question":"We solve the system of non-homogeneous linear equations by","choices":[{"text":"a and b","value":"A"},{"text":"b and c","value":"B"},{"text":"c and a","value":"C"},{"text":"a,b and c","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":13611,"question":"Trival solution of homogeneous linear equation is","choices":[{"text":"(0, 0, 0)","value":"A"},{"text":"(1, 2, 3)","value":"B"},{"text":"(1, 3, 5)","value":"C"},{"text":"a.b and c","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13610,"question":"For non-trival solution |A| is","choices":[{"text":"non zero","value":"A"},{"text":"A = 0","value":"B"},{"text":"|A| = 0","value":"C"},{"text":"At = 0","value":"D"},{"value":"E"}],"correctAnswer":1}]