MP Class 12 Math Important Questions 2026

MP Class 12 Math Important Questions 2026 are from the maximum weightage carrying topics like calculus (derivatives, integrals, applications), algebra (matrices, determinants), vector algebra, 3-D geometry, and probability. The other important topics you must focus on are types of relations/functions, domain, composition, invertibility, Principal values, properties, graphs, Continuity, differentiability, derivatives, maxima/minima, integration (including applications for area calculation), differential equations, equations of lines/planes, etc. After analyzing the MP Board Class 12 Math Previous Year Question Paper , we have provided the MPBSE 12th Math Important Questions 2026. You can focus on these topics and chapters to score better marks in the upcoming exam. Solving these questions regularly will enable you to assess your preparation level and identify your weak areas that need more attention. Let's check out the MP Class 12 Math Important Questions 2026.

Read More MP Board Class 12 Math Syllabus 2025-26

MP Class 12 Math Important Questions 2026 of 1 Mark

Questions numbered 1 to 5 will be 1-mark questions where you will find subquestions such as MCQs, True/False, and Fill in the Blanks. Around 30 questions will be there. Check out the MP Class 12 Math Important Questions 2026 of 1 Mark:

• Let f: R → R be a function defined as f(x) = 8x:
  (a) f is one-to-one onto (c) / is one-to-one but not onto
  (b) f is many-to-one onto
  (c) f is one-to-one but not onto
  (d) f is neither one-to-one nor onto
• If f: R → R is given by f(x) = (3−x³)¹/³, then (fof) x is:
  (a) x x1/3
  (b) xx3
  (c) x
  (d) (3−x3)
• Consider a binary operation * on N defined as a*b = a³ + b³:
  (a) Is * both associative and commulative
  (b) Is * commutative but not associative
  (c) Is * associative but not commutative
  (d) Is * neither commutative nor associative
• If f: R → R, be defined by f(x) = x ² – 3x + 2, then f{f(x)} ……………………………
• If f: R → R, be defined by f(x) = 2x + 5, then f⁻¹ (y) ………………………………
• If f: R → R, be defined by f(x) = x, ³ then f is ………………………………….
• Write True/False: Let R = {(1, 3), (3, 1), (3, 3)} be a relation defined on A = {1, 2, 3}. Then R is symmetric and transitive but not reflexive.
  • If f: A → B is a bijective function, then the inverse f⁻¹of f is unique.
  • The composition of a function is commutative
  • Every function is invertible
• If A = [cosαsinα−sinαcosα] and A + A’ = I, then the value of α is:
  (a) π6
  (b) π3
  (c) π
  (d) 3π2
• If a matrix is both symmetric and skew-symmetric, then:
  (a) A is a diagonal matrix
  (b) A is zero matrix
  (c) A is a square matrix
  (d) None of these

• Write True/False:

  • Multiplication of matrices always commutative?
  • Two matrices are said to be comparable if they have the same number of rows and columns?
  • If A is a square matrix, then A. adj A = |A| I?
  • A square matrix A is said to be symmetric if A = –AT.
  • Are matrices A and B inverses of each other if AB = BA?
• Write True/False:
  • If f(x) = x−−√; x>0, then the value of f'(2) is 122√?
  • Any function f(x) is said to be differentiable at any point x = a when Lf'(a) ≠ Rf'(a).
  • Differential coefficient of sec ⁻¹a w.r.t. x is 0?
• The value of ∫x⁴+x⁴ dx is:
  (a) 14x ² + c
  (b) 14 tan⁻¹ x22
  (c) 12 tan ⁻¹ x²²
  (d) None of these

Read More MP Board Class 12 Math Model Paper 2025-26

MP Class 12 Math Important Questions 2026 of 2 Marks

Check out the MP Class 12 Math Important Questions 2026 of 2 Marks:

• Show that the relation R in the set Z of integers given by R = {(a, b) : 2 divides a – b} is an equivalence relation.
• Let N be the set of natural numbers. If R is a relation defined in set N × N such that (a, b) R (c, d). If ad (b + c) = bc (a + d). Prove that R is an equivalence?
• cot(−π/2 – cot ⁻¹ 3 – √)
• Let tan(-3–√) = θ
• Find all the points of discontinuity of f, when f is defined as:
  f(x) = {2x+3, 2x−3, if x≤2x>2
• Evaluate:
  ∫cos2x+2sin2x/cos2x dx?

MP Class 12 Math Important Questions 2026 of 3 Marks

Check out the MP Class 12 Math Important Questions 2026 of 3 Marks:

• Show that the relation defined in the set A of all polygons as R = {(P ₁ ,P ₂ ): P ₁ and P ₂ have the same number of sides} is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3, 4, and 5?
• Prove that the function given by f: [-1,1] → R, f(x) = xx+2 is one-to-one. Find the inverse function of function f: [-1,1] → (Range of f).
• Prove the following:
  • 2 cos⁻¹(45) = cos ⁻¹(725)
  • 2 sin ⁻¹(513) = sin ⁻¹(120169)
  • 2 sin ⁻¹(35) = sin ⁻¹(2425)
• Find the value of sin [ π3 – sin⁻¹( −12 ) ].
• Prove that: 2 tan⁻¹ 15 = tan ^-1 ( 5/12 )
• If y = tan ⁻¹ x1 + x2√, then find the value of dydx.
• If x = a(t + sin t) and y = a(1 – cos t), then find the value of dydx.
• Verify Rolle’s theorem for the function f(x) = x in the ² interval [-1, 1].

MP Class 12 Math Important Questions 2026 of 4 Marks

Check out the MP Class 12 Math Important Questions 2026 of 4 Marks:

• Prove that sin⁻¹ 15√ + sin⁻¹ 110√ = π/4?
• Consider f: N → N, g: N → N, and h: N → R defined as f(x) = 2x, g(y) = 3y + 4, and h(z) = sin z ∀ x, y, and z ∈ N. Show that ho(gof) = (hog)of?
• If f(x) = x1+|x|, ∀x ∈ R and g(x) = x1−|x|, ∀x ∈ R where -1 < x < 1, then find gof and fog. Show that fog = gof?
• Prove that the function f(x) = |x – 1|, x ∈ R is not differentiable at x = 1?
• Find the relationship between a and b so the following function f is defined by:
• With the help of Lagrange’s value theorem for the function y = x−2−−−−−√ in the interval [2, 3]. Find the point where the tangent is parallel to be chord joining the points.

Which chapters have more weightage in MP Class 12 Math?

In the MP Class 12 Mathematics exam 2026, the chapters you can give more attention to are primarily the calculus section. Integration is the most important chapter, carrying about 12 marks, followed by Continuity and Differentiability, which holds around 8 marks. Vector Algebra and Three Dimensional Geometry are also important, each carrying approximately 7 marks. Other chapters include Matrices, Determinants, Applications of Derivatives, Inverse Trigonometric Functions, and Differential Equations, each with around 6 marks.

The above-mentioned MP Class 12 Math important questions are the most repeated questions that you can focus on for your preparation. These questions are the most frequently asked concepts and topics in past years’ board exams that will help you prioritize important chapters with high weightage.