JEE & NEETJEE Mathematics JEE Main Maths 100+ MCQ & Answer | Page-06 | JEE & NEET MCQ February 4, 2025 DSN MARATHI 51. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x. A. 2 B. 3 C. 4 D. 5 Answer Option : D 52. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6). A. y = 2x B. x = 3y C. y = x D. 4x – y = 5 Answer Option : A 53. If for the non-singular matrix A, A2 = I, then find A-1. A. A B. I C. O D. None of these Answer Option : A 54. A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx – 2y + 3z = 0 is given by x : y : z = A. 1 : 2 : -2 B. 1 : -2 : 2 C. 2 : 1 : 2 D. 2 : 1 : -2 Answer Option : D 55. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = ________ A. 1 B. 3 C. -2 D. 2 Answer Option : D 56. If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then A. a – b = 2 B. a + b + 1 = 0 C. a + b = 3 D. a – b – 8 = 0 Answer Option : A 57. 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 A. -1 B. 0 C. 1 D. 2 Answer Option : C 58. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2). A. 21 sq. units B. 35 sq. units C. 30 sq. units D. 40 sq. units Answer Option : D 59. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k. A. 4 B. 7/140 C. 47 D. 40/7 Answer Option : D 60. Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5). A. 30 sq. units B. 35 sq. units C. 40 sq. units D. 15.5 sq. units Answer Option : D
51. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x. A. 2 B. 3 C. 4 D. 5 Answer Option : D
52. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6). A. y = 2x B. x = 3y C. y = x D. 4x – y = 5 Answer Option : A
53. If for the non-singular matrix A, A2 = I, then find A-1. A. A B. I C. O D. None of these Answer Option : A
54. A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx – 2y + 3z = 0 is given by x : y : z = A. 1 : 2 : -2 B. 1 : -2 : 2 C. 2 : 1 : 2 D. 2 : 1 : -2 Answer Option : D
55. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = ________ A. 1 B. 3 C. -2 D. 2 Answer Option : D
56. If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then A. a – b = 2 B. a + b + 1 = 0 C. a + b = 3 D. a – b – 8 = 0 Answer Option : A
57. 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 A. -1 B. 0 C. 1 D. 2 Answer Option : C
58. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2). A. 21 sq. units B. 35 sq. units C. 30 sq. units D. 40 sq. units Answer Option : D
59. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k. A. 4 B. 7/140 C. 47 D. 40/7 Answer Option : D
60. Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5). A. 30 sq. units B. 35 sq. units C. 40 sq. units D. 15.5 sq. units Answer Option : D
