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NDA 1 2025 Maths, question 87

Topic: Algebra

Passage · Q87 to Q88

Let f={(1,1),(2,4),(3,7),(4,10)}f = \{(1,1),(2,4),(3,7),(4,10)\}.

Q87

If f(x)=px+qf(x) = px + q, then what is the value of (p+q)(p + q)?

  1. (a) -1
  2. (b) 0
  3. (c) 1Correct answer
  4. (d) 5

Solution.

Answer: (c) 1

  1. The pair (1,1)(1,1) directly gives f(1)=p+q=1f(1) = p + q = 1.
  2. There is no need to solve separately for both constants.