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32 Cards in this Set

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  • Back
  • 3rd side (hint)

How do you factorise ax^2+bx+c?

ax^2+dx+ex+c=0


If d+e=b


& d•e=a•c

Think of an equation and what rules it is governed by

What are the centres for the two sets of circle equations?

(A,b) & (-g,-f)

Centres in form... (_,_) & (_,_)

For a circle with centre (A,B) what is the radius?

Radius squared is given as answer to equation;


Radius=r

Think about the equation for circle with this centre

How do you write geometric interpratations?

What form in the answer in when completing the square?

a(x+b)^2+c

What is the formula for completing the square?

This will give answer in form,


a (x+b)^2+c

What is happening to the Y value at a stationary point?

It is at maxima, minima, or point of inflection.

How do you determine nature of roots?

B^2-4ac;


>0 2 real roots


=0 1 repeated root


<0 no real roots

Think about the quadratic formula.

What is the equation of a straight line?

y=mx+c

What is the equation for length of a line?

Use pythagoras

What is the equation for gradient of a line? (m)

Think about what gradient tells you about a line.

How do you determine midpoint of a line?

Think of how you would determine midpoint of two integers

How do you get equation of a line from a set of known coordinates?

How do you determine if two lines are parallel?

Think about gradients

How do you determine if two lines are perpendicular

Think about gradient

If a circle has centre (a,b) what is its equation?

What is the radius of a circle with centre (-g,-f)?

What is the equation of a circle with centre


(-g,-f)?

How do you check if a circle and a line meet?

You solve simultaneously and check for real roots.

How do you tell if two circles meet? Then how do you categorise these?

To find if they meet you take the length between the centres of the circles and then check if it is smaller than or equal to the radius. Classifying them is pictured.

How do you differentiate using first principles?

Add h to each section containing x... e.g, a(x+h)^2+b(x+h)+c


Also make sure to divide thhrough by h before you set h to 0.

How do you differentiate using the quick method?

How do you find gradient at a given point?

Differentiate and then sub in x coordinate.

How do you find stationary point?

Differentiate and then solve for when derivative=0


Then put x values into original equation for y values.

How do you determine what type a stationary point is?

Differentiate twice and solve using x value.

How do you integrate with no set limits?

How do you intergrate with set limits?

What does integration give?

The area under a curve on a graph.

What are the different trigonometric graphs?

The blue lines on tan are asymptotes, these are infinite points that cannot be reached.

How do you draw and use a cast diagram?

How do you use an equation with cast diagrams?

Solve using (trigonometric function)^-1 and then use result.

What are the two main trigonometric identities?