2nd PUC Mathematics Series 6 December 3, 2020December 22, 2020wefru PUC Science 2nd Year Mathematics Series-6 quiz 0 Created on December 02, 2020 By wefru 2nd PUC Mathematics Series 6 TEST YOUR KNOWLEDGE OF SCIENCE 1 / 10 51. If A is an m × n matrix such that AB and BA are both defined, then B is a m × n matrix n × m matrix n × n matrix m × n matrix 2 / 10 52. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x. 5 6 1 0 3 / 10 53. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6). y = 2x y = 8x y = 6x 0 4 / 10 54. If for the non-singular matrix A, A2 = I, then find A-1. A D G B 5 / 10 55. A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx – 2y + 3z = 0 is given by x : 2 : 1 : -2 8 : 1 : -2 2 : 1 0 6 / 10 56. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = ________ 2 3 4 5 7 / 10 57. If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then a – b = 2 a – b = 3 a – b = 4 a – b = 5 8 / 10 58. Solve the following system of equations x – y + z = 4, x – 2y + 2z = 9 and 2x + y + 3z = 1. x = -4, y = -3, z = 2 x = -1, y = -3, z = 2 x = -1, y = -3, z = 87 0 9 / 10 59. If the system of equations x + ky – z = 0, 3x – ky – z = 0 & x – 3y + z = 0 has non-zero solution, then k is equal to 1 2 3 4 10 / 10 60. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2). 21 sq. units 35 sq. units 5 sq. units 305 sq. units Your score isThe average score is 0% LinkedIn Facebook Twitter VKontakte 0% Restart quiz