Question
Consider the following for the two (02) items that follow: Let f = \ (1, 1), (2, 4), (3, 7), (4, 10)\ . If f(x) = px + q, then what is the value of (p + q)?
NDA
Mathematics
Functions
2025
NDA 2025 (Phase 1)
NDA Mathematics Question (2025) — Solution
Options
- A. -1
- B. 0
- C. 1
- D. 5
Answer
C. 1
Step-by-step solution
Given f(x) = px + q. From the given set of points, we have f(1) = 1. Substituting x = 1 in the function, we get: p(1) + q = 1 p + q = 1 Alternatively, using f(2) = 4, we get 2p + q = 4. Solving p + q = 1 and 2p + q = 4 gives p = 3 and q = -2. Thus, p + q = 3 - 2 = 1. Answer: 1
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