1) The coefficient of x in the determinant a) 1 b) 0 c) 2 d) none of these 2) If A is any m x n matrix such that AB and BA are both defined, then B is an a) m x n matrix b) n x m matrix c) n x n matrix d) … Read more

1) The value of the determinant a) 0b) -1c) 1d) 10 2) a) a/b is one of the cube roots of unityb) a is one of the cube roots of unityc) b is one of the cube roots of unityd) a/b is one of the cube roots of -1 3) If A, B and C … Read more

1) The value of the determinant a) b) c) d) 2) The solution set of the equation a) b) c) d) 3) If A is square matrix such that then for any +ve integer n, is equal to a) 0 b) c) d) 4) The multiplicative inverse of a) b) c) d) 5) The multiplicative … Read more

1) If the system of equations x + ay + az = 0, bx + y + bz = 0, cx + cy + z = 0 Where a, b and c are non-zero and non-unity, has a non- trivial solution, then the value of a) zerob) 1c) -1d) 2) If then the value of … Read more

1) The number of lines that are parallel to 2x+6y+7=0 and have an intercept of length 10 between the coordinate axes is a) 1b) 2c) 4d) infinitely many 2) If is the identity matrix of order n, then a) does not existb) c) =0d) 3) If A is any square matrix, then A (Adj A) … Read more

1) The angle between the lines x = 1, y = 2 and y = -1, z = 0 isa) b) c) d) 2) The line a) coincidentb) parallelc) skewd) perpendicular 3) The vector equation of a line which passes through a point whose      position vector is and parallel to a vector is a) b) … Read more

1) The co-ordinates of the foot of the perpendicular from the point (1, 3, 4) on the plane 2x – y +z + 3 = 0 area) (1, 1, -4)b) (4, -3, 1)c) (1, -3, 4)d) (-1, 4, 3) 2) The shortest distance between the lines a) 1/6b) c) 1/3d) 3) The image of the … Read more

1) a) b) c) d) p 2) a) are collinearb) form an equilateral trianglec) form a scalene triangled) form a right angled triangle 3) a) 9 p2  = 4 q2 b) 4 p2   =  9 q2 c) 9 p = 4 qd) 4 p = 9 q 4) a) the AM of a and bb) … Read more

1) The vector equation of the plane containing the line and the point a) b) c) d) none of these 2) The point of intersection of the lines a) b) c) d) 3) The length of from the origin of the line a) b) 2c) d) 6 4) The angle between the lineand the normal … Read more

1) be three non-zero vectors such that is a unit vector perpendicular to both the vector and . If the angle between is then, a) 0b) 1c) d) 2) The value of c so that for all real x the vectors make an obtuse angle area) c