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JAMB Mathematics 2006 Question 10

Question 10

Integration

The gradient of a curve is 2x + 7 and the curve passes through point (2, 0). Find the equation of the curve.

  1. A.y = x2 + 7x + 9
  2. B.y = x2 + 7x − 18
  3. C.y = x2 + 7x + 18
  4. D.y = x2 + 14x + 11
Show the answer and explanation

Answer: B (y = x2 + 7x − 18)

Explanation

Integrating, y = x2 + 7x + c. At (2, 0): 4 + 14 + c = 0, so c = −18.