CBSE Class 12 Maths free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper CBSE Class 12 Maths set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
The range of the function π/3 − tan⁻¹ x is:
A [
B (
C (
D (
Correct answer: D — ( • The principal value range of tan⁻¹ x is ( • π/3 − tan⁻¹ x therefore takes values from −π/6 to 5π/6.
- The range is ( • Why the other options are wrong:
- A ([−π/6, 5π/6]): Use the principal value range of tan⁻¹ x and shift it by π/3.
- B ((−2π/3, π/3)): Use the principal value range of tan⁻¹ x and shift it by π/3.
- C ((π/3, 4π/3)): Use the principal value range of tan⁻¹ x and shift it by π/3.
Shift (and flip) the principal value range of the inverse function.
Your sample is downloading. Liked it? CBSE Class 12 Maths Paper 1 is the full paper: 38 questions, 80 marks, 3 hours, five sections with internal choice and no calculator, written to the CBSE 2026-27 Class XII Mathematics (041) syllabus and sample paper, with a worked solution for every question.
Get Paper 1 for A$11.99See all 20 papers from A$11.99More free India CBSE (Class 10 and 12) samples
Questions about this sample
What is in the CBSE Class 12 Maths free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.
How many full CBSE Class 12 Maths papers are there?
20 original papers for Class 12 students in India preparing for the CBSE board examination in Mathematics (041). Each is 38 questions, 80 marks, 3 hours, five sections with internal choice and no calculator, written to the CBSE 2026-27 Class XII Mathematics (041) syllabus and sample paper, with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.