MPBSE Class 12th Maths Model Question Paper 2023

Board	Madhya Pradesh Board of Secondary Education [MPBSE]
Class	Class 12th / HSC
Download	Model Question Paper
Year	2022-23
Subject	Maths
Document Type	PDF
Official Website	http://www.mpbse.nic.in/default.htm

MPBSE Class 12th Maths Model Question Paper

Madhya Pradesh Board of Secondary Education [MPBSE] Class 12th / HSC Maths Model Question Paper 2022-23

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Download MPBSE Class 12th Maths Model Question Paper

Class & Subjects	Question Bank
Class XII Maths	Download Here

MPBSE Class 12th Maths Sample Questions

Choose the best answer:
If A and B are two matrices of suitable order then(𝑨𝑩)′is equal
(a) 𝑨′𝑩′
(b) 𝑨′−𝑩′
(c) 𝑨′+𝑩′
(d) 𝑩′𝑨′

The value of integrating factor (𝑰𝑭) in Differential equation 𝒅𝒚/𝒅𝒙 + 𝑷𝒚 = 𝑸 is %
(a) 𝒆∫𝑷𝒅𝒙
(b) 𝒆∫ 𝑷𝒅𝒚
(c) 𝒆 ∫ 𝑸𝒅𝒙
(d) 𝒆 ∫ 𝑸𝒅y

If 𝒍, 𝒎, 𝒏 aare direction Cosine of a line then correct relation between 𝒍, 𝒎, 𝒏 will be
(a) 𝒍 𝟐 + 𝒎𝟐 + 𝒏 𝟐=1
(b) 𝒍 + 𝒎 + 𝒏 = 𝟏
(c) 𝒍 𝟐 + 𝒎𝟐 + 𝒏𝟐=0
(d) 𝒍 + 𝒎 + 𝒏 = 𝟎

Fill in the blanks:
(i) A function 𝒇: 𝒙 → 𝒚 will be one one function when 𝒇(𝒙𝟏) = 𝒇(𝒙𝟐) implies ————————————
(ii) The Principal value of 𝐜𝐨𝐬−𝟏(𝒙) lie in —————————–
(iii) The value of 𝑨′ when matrix 𝑨 = ⌈𝒂𝒊𝒋⌉𝒎×𝒏 ———————–
(iv) Differentiation of 𝒄𝒐𝒔√𝒙 with respect to 𝒙 will be——————————–
(v) If function 𝐟: 𝐱 → 𝐲 is onto function then relation between codomaln andrange ……………..
(vi) Matrices A and 𝑩 will be inverse to each other if 𝑨𝑩 = 𝑩𝑨 = ……..

Write True/False in the following :
(i) If two column are identical then the value of determinant is zero.
(ii) A function 𝒇(𝒙) will be an increasing function in given interval 𝑰 when 𝒙𝟏 < 𝒙𝟐 ⇒ 𝒇(𝒙𝟏) > 𝒇(𝒙𝟐) 𝒙𝟏,, 𝒙𝟐 ∈ 𝑰
(iii) If for two events 𝑨 and 𝑩 , 𝑨 ⊂ 𝑩 then 𝑷(𝑨𝑩) = 𝑷(𝑨)
(v) Two vector having same magnitude is always equal to each other.
(v) Function 𝒇(𝒙) = 𝒙𝟐 𝒇𝒐𝒓 𝒇: 𝑵 → 𝑵 is one –one onto.

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