Results To Memorise Flashcards

1
Q

Nature of a stationary point: + tp -

A

Maximum turning point

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2
Q

Nature of a stationary point: - tp +

A

Minimum turning point

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3
Q

Nature of a stationary point: + tp +

A

Rising point of inflexion

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4
Q

Nature of a stationary point: - tp -

A

Falling point of inflexion

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5
Q

What is 360° in radians?

A

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6
Q

What is 180° in radians?

A

π

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7
Q

Two real and distinct roots…

A

b² - 4ac > 0

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8
Q

Two real and equal roots…

A

b² - 4ac = 0

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9
Q

No real roots…

A

b² - 4ac < 0

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10
Q

How do you prove tangency?

A

Show a repeated root OR show b² - 4ac = 0

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11
Q

Nature of intersection of line and curve/line and circle: two points of intersection…

A

b² - 4ac > 0

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12
Q

Nature of intersection of line and curve/line and circle: one point of contact/tangent…

A

b² - 4ac = 0

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13
Q

Nature of intersection of line and curve/line and circle: the line and the curve do not intersect…

A

b² - 4ac < 0

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14
Q

Coordinate lies within the circle…

A

LHS < RHS

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15
Q

Coordinate lies on the circle…

A

LHS=RHS

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16
Q

Coordinate lies outside the circle…

A

LHS>RHS

17
Q

Circles do not intersect…

A

r1 + r2 < AB

18
Q

Circles touch externally…

A

r1 + r2 = AB

19
Q

Circles have two points of intersection…

A

r1 + r2 > AB

20
Q

Circles touch internally…

A

r2 - r1 = AB