Add maths Important

If quadratic equation only have one root how do u completely factorise it for example 4xsq-12x+9

(2x-3)(2x-3)

If only one root means roots are repeated so 4xsq-12x+9= (2x-3)(2x-3)

dy/dx of tanx

sec sq x

What is the formula for scaling a unit vector

vector = unit vector x magnitude

unit vector = vector / magnitude

How to convert degree into radian

Multiply pie/180

for radian to degree is 180/ pie

When circles touching

When circles dun touch

When one circle is in another and is touching

When one circle is in another and not touching

r1+ r2 = distance from two centers AB

r1+ r2 < AB

absolute r1-r2= AB

absolute r1-r2> AB

absolute r1-r2 < AB< r1+r2

Center of circle, expanded and simplfied equation of circle, formula for radius

(a,b) (-g,-f)

(x-a) sq + (y-b) sq = rsq / xsq + ysq +2gx + 2fy+ c= 0

sq root gsq + fsq -c

n!

ex (n+2)(n+1)(n)(n-1)(n-2)!

to change smt ex c into base in log base a x

log base c x/ log base c a

log base a (1/x)=

-log base a x

shape of graph e power -x

exponenet <0 it goes downwards

graph shape of -logx

coefficient before log <0 then goes downwards