Madhya Pradesh Board Class 12 Mathematics — Important Questions (Board Exams 2027)

Which of the following relations on set A = {1, 2, 3} are reflexive?

Let f: A → B where A = {1, 2, 3} and B = {4, 5, 6, 7}. If f = {(1,4), (2,5), (3,6)}, determine the properties of f.

Let f: R → R be defined by f(x) = |x - 2|. For which values of a does the equation f(x) = a have exactly two solutions?

Which of the following are correct antiderivatives? (Select all that apply)

Find ∫(5x⁴ - 3x² + 7)dx

Which method would be most appropriate for evaluating ∫x·ln(x)dx?

Which of the following are correct statements about the domain and range of sin⁻¹x?

What is cos⁻¹(0)?

Calculate the value of tan⁻¹(1) + tan⁻¹(0).