JEE & NEETJEE Mathematics JEE Main Maths 100+ MCQ & Answer | Page-10 | JEE & NEET MCQ February 4, 2025 DSN MARATHI 91. Which of the following represents coinitial vector? A. c, d B. m, b C. b, d D. b, d Answer Option : D 92. The vectors 3i^+5j^+2k^,2i^−3j^−5k^ and 5i^+2j^−3k^ form the sides of A. Isosceles triangle B. Right triangle C. Scalene triangle D. Equilaterala triangle Answer Option : D 93. The vectors a=xi^−2j^+5k^ and b=i^+yj^−zk^ are collinear, if A. x =1, y = -2, z = -5 B. x= 1.2, y = -4, z = -10 C. x = -1/2, y = 4, z = 10 D. All of these Answer Option : D 94. If a + b + c = 0, then a × b = A. c × a B. b × c C. 0 D. Both (a) and (b) Answer Option : D 95. If a, b, c are three non-coplanar vectors, then (a + b + c).[(a + b) × (a + c)] is A. 0 B. 2[abc] C. -[abc] D. [abc] Answer Option : C 96. If u, v and w are three non-coplanar vectors, then (u + v – w).[(u – v) × (v – w)] equals A. 0 B. u.v × w C. u.w × v D. 3u.v × w Answer Option : B 97. If a, b, c are unit vectors, then |a – b| + |b – c| + |c – a| does not exceed A. 4 B. 9 C. 8 D. 6 Answer Option : B 98. Four points (0, -1, -1) (-4, 4, 4) (4, 5, 1) and (3, 9, 4) are coplanar. Find the equation of the plane containing them. A. 5x + 7y + 11z – 4 =0 B. 5x – 7y + 11z + 4 = 0 C. 5x – 7y – 11z – 4 = 0 D. 5x + 7y – 11z + 4 = 0 Answer Option : B 99. Find the equation of plane passing through the points P(1, 1, 1), Q(3, -1, 2), R(-3, 5, -4). A. x + 2y = 0 B. x – y = 2 C. -x + 2y = 2 D. x + y = 2 Answer Option : D 100. The vector equation of the plane passing through the origin and the line of intersection of the plane r.a = λ and r.b = µ is A. r.(λa – µb) = 0 B. r.(λb – µa) = 0 C. r.(λa + µb)= 0 D. r.(λb + µa) = 0 Answer Option : B
91. Which of the following represents coinitial vector? A. c, d B. m, b C. b, d D. b, d Answer Option : D
92. The vectors 3i^+5j^+2k^,2i^−3j^−5k^ and 5i^+2j^−3k^ form the sides of A. Isosceles triangle B. Right triangle C. Scalene triangle D. Equilaterala triangle Answer Option : D
93. The vectors a=xi^−2j^+5k^ and b=i^+yj^−zk^ are collinear, if A. x =1, y = -2, z = -5 B. x= 1.2, y = -4, z = -10 C. x = -1/2, y = 4, z = 10 D. All of these Answer Option : D
95. If a, b, c are three non-coplanar vectors, then (a + b + c).[(a + b) × (a + c)] is A. 0 B. 2[abc] C. -[abc] D. [abc] Answer Option : C
96. If u, v and w are three non-coplanar vectors, then (u + v – w).[(u – v) × (v – w)] equals A. 0 B. u.v × w C. u.w × v D. 3u.v × w Answer Option : B
97. If a, b, c are unit vectors, then |a – b| + |b – c| + |c – a| does not exceed A. 4 B. 9 C. 8 D. 6 Answer Option : B
98. Four points (0, -1, -1) (-4, 4, 4) (4, 5, 1) and (3, 9, 4) are coplanar. Find the equation of the plane containing them. A. 5x + 7y + 11z – 4 =0 B. 5x – 7y + 11z + 4 = 0 C. 5x – 7y – 11z – 4 = 0 D. 5x + 7y – 11z + 4 = 0 Answer Option : B
99. Find the equation of plane passing through the points P(1, 1, 1), Q(3, -1, 2), R(-3, 5, -4). A. x + 2y = 0 B. x – y = 2 C. -x + 2y = 2 D. x + y = 2 Answer Option : D
100. The vector equation of the plane passing through the origin and the line of intersection of the plane r.a = λ and r.b = µ is A. r.(λa – µb) = 0 B. r.(λb – µa) = 0 C. r.(λa + µb)= 0 D. r.(λb + µa) = 0 Answer Option : B
