Target Mathematics
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  • Add Math 0606
  • FPM 4PM1

Add Math 0606 topics

  • 1. Functions55
  • 2. Simultaneous equations and quadratics34
  • 2. Quadratic functions35
  • 3. Factors and polynomials61
  • 4. Equations, inequalities and graphs127
  • 5. Logarithmic and exponential functions86
  • 6. Straight-line graphs107
  • 7. Coordinate geometry of the circle6
  • 8. Circular measure68
  • 9. Trigonometry180
  • 10. Permutations and combinations55
  • 11. Series99
  • 12. Calculus — Differentiation 185
  • 13. Vectors51
  • 14. Calculus — Differentiation 261
  • 15. Calculus — Integration92
  • 16. Kinematics42
  • Indices and surds39

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Additional Mathematics 0606 / Quadratic functions / 2.9

2.9: Line intersecting a curve at two distinct points

0606/22/M/J/20 — Question 3 · 6 marks

· ·
Find the values of kkk for which the line y=x−3y = x - 3y=x−3 intersects the curve y=k2x2+5kx+1y = k^{2}x^{2} + 5kx + 1y=k2x2+5kx+1 at two distinct points.
[6]
← 2.3: Line and curve that do not intersect2.13: Quadratic with no real roots →
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