1,328 prompts matching "Finding the values of m for which a line cuts a curve twice"
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Worked Example: Collecting like surds in a single sum
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Spot My Mistake: Squaring a bracket that contains a surd
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Common Mistakes: Solving an exponential equation using logarithms
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Worked Example: Evaluating a polynomial by substitution
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Practice: Factorising a cubic completely once one factor is known
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Common Mistakes: Three roots in geometric progression in a cubic
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Quiz: Solving a quadratic inequality using a sign table
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Practice: Choosing a committee that must contain one particular person
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Common Mistakes: Identifying a conic from a general second-degree equation
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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track
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Learn: Two particles joined by a light inextensible string over a smooth pulley
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Practice: A particle on a smooth table connected to a hanging particle
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Practice: A car rounding a bend on a level road
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Spot My Mistake: A particle hanging in equilibrium on an elastic string
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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative
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Spot my mistake: Treating any vector with small components as a unit vector
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