Question 1 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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Question 1 Identify the function shown in the graph (A) sin^(−1) 𝑥 (B) sin^(−1) (2𝑥) (C) sin^(−1) (𝑥/2) (D) 2sin^(−1) 𝑥We can solve this using options From graph For x = −1/2, y = –𝜋/2 For x = 0, y = 0 For x = 1/2, y = 𝜋/2 Let’s check options Option (A) - 〖𝒔𝒊𝒏〗^(−𝟏) 𝒙 Now, y = sin^(−1) 𝑥 Putting x = ½ y = sin^(−1) (1/2) y = 30° = 𝝅/𝟔 Since y ≠ 𝜋/2, this is not correct Option (B) - 〖𝒔𝒊𝒏〗^(−𝟏) (𝟐𝒙) Now, y = sin^(−1) (2𝑥) Putting x = ½ y = sin^(−1) (2 × 1/2) y = sin^(−1) (1) y = 90° = 𝝅/𝟐 Since y = 𝜋/2, this is correct We don’t need to check other options So, the correct answer is (B)