# 2nd PUC Mathematics Series 6

PUC Science 2nd Year Mathematics Series-6 quiz

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2nd PUC Mathematics Series 6

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51. If A is an m × n matrix such that AB and BA are both defined, then B is a

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52. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.

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53. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6).

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54. If for the non-singular matrix A, A2 = I, then find A-1.

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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 :

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56. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = ________

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57. If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then

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58. Solve the following system of equations x – y + z = 4, x – 2y + 2z = 9 and 2x + y + 3z = 1.

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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

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60. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2).