In This Post we are providing Chapter-4 Determinants NCERT MCQ for Class 12 Math which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.
NCERT MCQ ON DETERMINANTS
Question 1.
[[[111xyzx2y2z2]]]
(a) (x – y) (y + z)(z + x)
(b) (x + y) (y – z)(z – x)
(c) (x – y) (y – z)(z + x)
(d) (x – y) (y – z) (z – x)
Answer: (d) (x – y) (y – z) (z – x)
Question 2.
The value of the determinant
[[[ 352105723]]]
(a) 124
(b) 125
(c) 134
(d) 144
Answer: (c) 134
Question 3.
If a, b, c are in A.P. then the determinant[[[x+2x+3x+4x+3x+4x+5x+2ax+2bx+2c]]]
(a) 1
(b) x
(c) 0
(d) 2x
Answer: (c) 0
Question 4.
If w is a non-real root of the equation x² – 1 = 0. then
[[[1ωω2ωω21ω21ω]]] =
(a) 0
(b) 1
(c) ω
(d) ω²
Answer: (a) 0
Question 5.
If Δ = [103026] then A =
(a) 0
(b) 10
(c) 12
(d) 60
Answer: (a) 0
Question 6.
If 7 and 2 are two roots of the equation [[[x273x672x]]] then the third root is
(a) -9
(b) 14
(c) 12
(d) None of these
Answer: (a) -9
Question 7.
If [x182x] = [61826] x is equal to
(a) 6
(b) ±6
(c) -1
(d) -6
Answer: (b) ±6
Question 8.
[[[111abca2−bcb2−cac2−ab]]] is equal to
(a) abc
(b) ab + bc + ca
(c) 0
(d) (a – b)(b – c)(c – a)
Answer: (c) 0
Question 9.
A = [αqqα] |A³| = 125 then α =
(a) ±3
(b) ±2
(c) ±5
(d) 0
Answer: (a) ±3
Question 10.
If a ≠ 0 and [[[1+a1111+a1111+a]]] = 0 then a =
(a) a = -3
(b) a = 0
(c) a = 1
(d) a = 3
Answer: (a) a = -3
Question 11.
If x > 0 and x ≠ 1. y > 0. and y ≠ 1, z > 0 and z ≠ 1 then
[[[1logyxlogzxlogxy1logzylogxzlogyz1]]] is equal to
(a) 1
(b) -1
(c) 0
(d) None of these
Answer: (c) 0
Question 12.
[[[y+zyzzz+xzxyx+y]]] is equal to
(a) 6xyz
(b) xyz
(c) 4xyz
(d) xy + yz + zx
Answer: (c) 4xyz
Question 13.
If [2541] = [2x64x] then the value of x is
(a) ±2
(b) ±13
(c) ±√3
(d) ± (0.5)
Answer: (c) ±√3
Question 14.
If [2x85x] = [67−23] then the value of x is
(a) 3
(b) ±3
(c) ±6
(d) 6
Answer: (c) ±6
Question 15.
The value of determinant [[[a−bb−cc−ab+cc+aa+babc]]]
(a) a³ + b³ + c ³
(b) 3bc
(c) a³ + b³ + c³ – 3abc
(d) None of these
Answer: (c) a³ + b³ + c³ – 3abc
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