Question
Consider the following for the two (02) items that follow: Let p = | - ( - 90°)|. What is the maximum value of p?
NDA
Mathematics
Trigonometric Ratios & Identities
2025
NDA 2025 (Phase 1)
NDA Mathematics Question (2025) — Solution
Options
- A. 1
- B. 2
- C. 3
- D. 2
Answer
B. 2
Step-by-step solution
Given p = | - ( - 90^ )| Using the trigonometric identity ( - 90^ ) = - (90^ - ) = - Substituting this into the expression for p p = | - (- )| = | + | The maximum value of the expression a + b is a^2 + b^2 Here, a = 1 and b = 1 Maximum value of + = 1^2 + 1^2 = 2 Therefore, the maximum value of p is 2 Answer: 2
Related: Mathematics — Trigonometric Ratios & Identities · All PYQ Banks