Class 12th Maths Important Questions 2026 Mp Board : Top 50 Selected.

विद्यार्थी जो की कक्षा 12वीं गणित विषय के पेपर की तैयारी में लगे हुए हैं तो उन विद्यार्थियों के लिए इस आर्टिकल के माध्यम से कुछ ऐसे चुनिंदा प्रश्न बताने जा रहे हैं, जिनका यदि आप परीक्षा की तैयारी में शामिल कर लेते हैं तो निश्चित ही आपकी परीक्षा की तैयारी बेहतर से बेहतर हो जाएगी साथ ही साथ यह प्रश्न आपके परीक्षा में ज्यादा अंक लाने में काफी मदद करेंगे | विद्यार्थियों से सलाह के तौर पर कहना चाहेंगे की तैयारी तो करते रहे साथ ही साथ इन महत्वपूर्ण प्रश्नों को अपनी तरफ कॉपी में नोट करते चले, बाद में इनको हल करना शुरू कर दें |

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MP Board Class 12 Maths 2026 के लिए 50 सबसे महत्वपूर्ण sums (questions) दिए जा रहे हैं। ये सभी NCERT आधारित हैं और परीक्षा में आने की संभावना बहुत अधिक है।

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⭐ Class 12 Maths – 50 Important Sums (MP Board 2026)

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📘 Chapter 1: Relations & Functions

1. Prove that the relation R = {(a, b): a – b is even} on N is an equivalence relation.
2. Find range of the function ( f(x)=\frac{1}{1+x^2} ).
3. If f and g are defined as f(x)=x+2, g(x)=x², find g(f(x)).

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📘 Chapter 2: Inverse Trigonometric Functions

4. Evaluate: ( \sin^{-1}\left(\frac{1}{2}\right)+\cos^{-1}\left(\frac{1}{2}\right) ).
5. Find the principal value of ( \tan^{-1}(\sqrt{3}) ).
6. Prove: ( \sin^{-1}x + \sin^{-1}y = \sin^{-1}(x\sqrt{1-y^2}+y\sqrt{1-x^2}) ).

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📘 Chapter 3: Matrices

7. If ( A=\begin{bmatrix}1 & 2\ 3 & 4\end{bmatrix} ), find ( A^2 ).
8. Verify that ( (AB)’ = B’A’ ).
9. Find the inverse of matrix ( \begin{bmatrix}4&7\ 2&6\end{bmatrix} ).

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📘 Chapter 4: Determinants

10. Evaluate the determinant
    [
    \begin{vmatrix}
    2 & -1 & 3 \
    1 & 0 & 4 \
    5 & 2 & 1
    \end{vmatrix}
    ]
11. Prove that if two rows of a determinant are equal, its value is zero.
12. Using determinants, find area of triangle with vertices (1,2), (3,−1), (5,4).

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📘 Chapter 5: Continuity & Differentiability

13. Check continuity of f(x)=|x| at x=0.
14. Differentiate: ( y=\sin(\cos x) ).
15. Differentiate using chain rule: ( y=(x^2+3x+1)^{10} ).

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📘 Chapter 6: Applications of Derivatives

16. Find intervals where f(x)=3x²–12x+5 is increasing or decreasing.
17. Find maxima/minima of ( f(x)=x^3-3x+2 ).
18. Find slope of tangent to curve ( y=x^2+1 ) at x=2.

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📘 Chapter 7: Integrals

19. Evaluate: ( \int (3x^2+4x+1) dx ).
20. Evaluate: ( \int \frac{1}{x\ln x} dx ).
21. Integrate: ( \int \sin^3 x, dx ).
22. Evaluate: ( \int \frac{dx}{x^2+4} ).
23. Evaluate: ( \int e^{2x}\sin x, dx ).

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📘 Chapter 8: Applications of Integrals

24. Find area under y=x² between x=0 and x=2.
25. Find area between curves y=x and y=x².

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📘 Chapter 9: Differential Equations

26. Solve: ( \frac{dy}{dx} = xy ).
27. Solve: ( \frac{dy}{dx}+y=e^x ).
28. Find order and degree of ( \left(\frac{d^2y}{dx^2}\right)^3 + 5 \frac{dy}{dx} = 0 ).
29. Solve: ( (x+1)\frac{dy}{dx}+y = 0 ).

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📘 Chapter 10: Vector Algebra

30. Find dot product of vectors a = (2,3,4) and b = (1,−2,0).
31. Find angle between vectors a=(1,2,3), b=(3,2,1).
32. Find vector area of parallelogram formed by a=(2,1,0) and b=(1,−1,3).
33. Find scalar triple product of a=(1,2,3), b=(3,1,0), c=(0,2,1).

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📘 Chapter 11: Three-Dimensional Geometry

34. Find direction cosines of the line joining points (1,2,3) and (4,6,9).
35. Find equation of line passing through (2,−1,3) and parallel to vector (1,2,3).
36. Find distance of point (1,2,3) from plane 2x−y+z=5.
37. Find angle between lines ( r=(2,3,1)+\lambda(1,1,1) ) and ( r=(1,0,2)+\mu(2,−1,1) ).

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📘 Chapter 12: Linear Programming

38. Solve L.P.P.: Maximise Z=3x+4y subject to x+y≤4, x≥0, y≥0.
39. Minimise Z = 5x + 7y subject to constraints:
    x + 2y ≥ 6,
    3x + y ≥ 9,
    x, y ≥ 0.
40. Graph feasible region for x+2y ≤ 10, x≥0, y≥0.

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📘 Chapter 13: Probability

41. A die is thrown. Find probability of getting a number > 4.
42. If P(A)=0.6, P(B)=0.5, P(A∩B)=0.3, find P(A∪B).
43. A bag contains 3 red, 5 blue balls. Two balls are drawn. Find probability both are red.
44. Use Bayes theorem:
    A machine produces 40% defective items from machine A and 60% from B. P(defective|A)=0.04, P(defective|B)=0.02. Find the probability that defective item came from machine A.
45. If A and B are independent events, show P(A∩B)=P(A)P(B).

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Mixed Important Sums (Final Revision)

46. Evaluate ( \int_0^\pi |\sin x| dx ).
47. Find derivative of ( x^x ).
48. Prove that vectors a and b are perpendicular if a·b = 0.
49. Solve: ( y\frac{dy}{dx}=x ).
50. If A is an invertible matrix, show that ( (A^{-1})’=(A’)^{-1} ).

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