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29 Cards in this Set

  • Front
  • Back

mn>0

m>0 n>0


Or


m<0 n<0

mn<0

m>0 n<0 Orm<0 n>0

a/b > 0

(a/b)* >0



ab>0

√a√b

√ab

(√a) / (√b)

√(a/b)

To rationalise

B = A²

logaB = 2

logaA

1

loga1

0

logPQ

LogP + Log Q

Log P/Q

LogP-Q

LogP²

2logP

General term for Arithmetic progression

a + (n-1)d

General term for Geometric sequence

ar^(n-1)

Arithmetic progression


Sn

= n/2(2a + (n-1)d)


= n/2(a+l)

r<1

r>1

Geometric sequence sum to infinity

A/r-1

To find the coordinates of the point of intersection

Simultaneous equations

general form of the equation of a circle

(x –(- g))² + (y -(f))² = r²



x²+y²+2xg+2yf+f²+g²=r²



x²+y²+2xg+2yf+c=0

In the general form of the equation of circle


C=

f²+g²-r²

gradient of a tagent

(x+g)/(y+f)

gradient of a normal

(y+f)/(x+g)

Equation of a straight

y=mx+c

point gradient form

Y-y= m(x-x)

magnitude of a vector

√(x²+y²)

Unit vector

(xi+yj) / √(x²+y²)

a•b

(i×i)+(j×j)



|a||b|cosX= √[(x-x)²±(y-y)²] √[(x-x)²±(y-y)²] cosX

a•b=0

Perpendicular