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A straight line y = mx meets the curve y = x2 - 12x +...

Mathematics
JAMB 1984

A straight line y = mx meets the curve y = x2 - 12x + 40 in two distinct points. If one of them is (5, 5) find the other

  • A. (5, 6)
  • B. (8, 8)
  • C. (8, 5)
  • D. (7,7)
  • E. (7, 5)
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Correct Answer: Option E
Explanation

When y = 5, y = x2 - 12x + 40, becomes

x2 - 12x + 40 = 5

x2 - 12x + 40 - 5 = 0

x2 + 12x + 35 = 0

x2 - 7x - 5x + 35 = 0

x(x - 7) - 5(x - 7) = 0

= (x - 5)(x - 7)

x = 5 or 7


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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