CBSE Class 12 Mathematics 2025 Sample Paper Set 04 Solved

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SECTION-A 

1. If |π‘Žπ‘‘π‘— 𝐴| = 144 , where 𝐴 is a square matrix of order 3 Γ— 3 , then |𝐴| =
a) 12
b)βˆ’12
c) Β±12
d) 16

Answer : c

2. The interval, in which function 𝑦 = π‘₯3 + 6π‘₯2 + 6 is increasing is :
a) (βˆ’βˆž, βˆ’4) βˆͺ (0, ∞)
b) (βˆ’βˆž, 4)
c) (βˆ’4,0)
d) (βˆ’βˆž, 0) βˆͺ (4, ∞)

Answer : a

3. If 𝐡 is a non singular matrix of order 3 such that 𝐡2 = 2𝐡 , then the value of |𝐡| =
a) βˆ’2
b) 2
c) 4
d) 8

Answer : d

4. The integrating factor of the differential equation π‘₯(𝑑𝑦/𝑑π‘₯) βˆ’ 𝑦 = π‘₯2𝑒π‘₯ is :
a) π‘₯
b) 1/π‘₯
c) βˆ’π‘₯
d) π‘’βˆ’π‘₯

Answer : b

5. If the points 𝐴(3, βˆ’2) , 𝐡(π‘˜, 2) and 𝐢(8,8) are collinear , then the value of π‘˜ is :
a) 2
b) βˆ’3
c) 5
d) βˆ’4

Answer : c

6. If order of matrix 𝐴 is 2 Γ— 3 , of matrix 𝐡 is 3 Γ— 2 and of matrix 𝐢 is 3 Γ— 3 , then which one of the following is not defined ?
a) 𝐢(𝐴 + 𝐡′)
b) 𝐢(𝐴 + 𝐡′)β€²
c) 𝐡𝐴𝐢
d) 𝐢𝐡 + 𝐴′

Answer : a

7. If 𝐴 and 𝐡 are two events such that 𝑃(𝐴) = 0.2 , 𝑃(𝐡) = 0.4 and 𝑃(𝐴 βˆͺ 𝐡) = 0.5, then the value of 𝑃(𝐴⁄𝐡) is :
a) 0.1
b) 0.25
c) 0.5
d) 0.08

Answer : b

 

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Model Practice Papers & Solutions for Class 12 Mathematics

Download Sample Paper: CBSE Class 12 Mathematics 2025 Sample Paper Set 04 Solved (Class 12 Mathematics)

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