Tangent

Tangent to a circle



Angle between Tangent and Chord



Common Tangents

Probability I

Sample space




Events

1. An event is a subset of outcomes which satisfies certain conditions.
2. An event may or may not occur in an experiment. An event is possible if its elements are the elements of the sample space.
3. An impossible event is an empty set.


Probability of an event

1. The probability of an event is the ratio of the number of times the event occurs to the number of trials.
2. Probability of an event A
3. Probability of an event = 1 if the event is certain to happen.
4. Probability of an event = 0 if the event is impossible to happen.
5. Expected number of times an event will occur
= Probability of the event x number of trials.

Statistic III

Class Interval



Mode and Mean



Histogram



Frequency Polygon




Cumulative Frequency






Measure of Dispersion

The Straight Line

Gradient of a Straight Line





Gradient of a Straight Line in Cartesian Coordinates






Intercepts



Equation of a Straight Line






Parallel Lines

Mathematical Reasoning

Statements



Quantifiers ?all? and ?some?.



Operations on statements






Implication



Arguments





Deduction and Induction

Sets

Sets






Subset, Universal Set and the Complement of a Set





Operation on Sets

Quadratic Expressions And Equations

Quadratic Expressions



Factorisation of Quadratic Expressions

Quadratic Equations



Roots of quadratic Equations