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Mathematics Official Board Paper 2025-2026 ISC (Commerce) Class 12 Question Paper Solution

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Mathematics [Official Board Paper]
Marks: 80 CISCE
ISC (Commerce)
ISC (Arts)
ISC (Science)

Academic Year: 2025-2026
Date & Time: 9th March 2026, 2:00 pm
Duration: 3h
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Instructions to Candidates

  1. You are allowed an additional fifteen minutes for only reading the paper.
  2. You must NOT start writing during reading time.
  3. The Question Paper has 11 printed pages and one blank page.
  4. The Question Paper is divided into three sections and has 22 questions in all.
  5. Section A is compulsory and has fourteen questions.
  6. You are required to attempt all questions either from Section B or Section C.
  7. Section B and Section C have four questions each.
  8. Internal choices have been provided in two questions of 2 marks, two questions of 4 marks and two questions of 6 marks in Section A.
  9. Internal choices have been provided in one question of 2 marks and one question of 4 marks each in Section B and Section C.
  10. While attempting Multiple Choice Questions in Sections A, B and C, you are required to write only ONE option as the answer.
  11. All workings, including rough work, should be done on the same page as, and adjacent to, the rest of the answer.
  12. Mathematical tables and graph paper are provided.
  13. The intended marks for questions or parts of questions are given in the brackets [].

SECTION A - 65 MARKS
[15]1. | In subparts (i) to (xi) choose the correct options and in subparts (xii) to (xv), answer the questions as instructed.
[1]1. (i)

If A IS a square matrix of order 3 and its determinant is |A| = −3, then the value of |−4A| is ______.

202

192

−212

−192

Concept: undefined - undefined
Chapter:
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[1]1. (ii)

Consider the function ‘f’ given by f(x) log x, x > 0, then the function ‘f’ is ______.

differentiable and continuous at x = 1.

differentiable but not continuous x = 1.

continuous but not differentiable at x = 1.

Neither differentiable nor continuous at x = 1.

Concept: undefined - undefined
Chapter:
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[1]1. (iii)

If events A and B are mutually exclusive, such that P(A) = `1/5` and P(B) = 2/3, then the value of P(A∪B) is ______.

`11/15`

`3/15`

`14/15`

`13/15`

Concept: undefined - undefined
Chapter:
[1]1. (iv)

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CISCE previous year question papers Class 12 Mathematics with solutions 2025 - 2026

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