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29 Cards in this Set
- Front
- Back
mn>0 |
m>0 n>0 Or m<0 n<0 |
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mn<0 |
m>0 n<0 Orm<0 n>0 |
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a/b > 0 |
(a/b)*b² >0
ab>0 |
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√a√b |
√ab |
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(√a) / (√b) |
√(a/b) |
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To rationalise |
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B = A² |
logaB = 2 |
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logaA |
1 |
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loga1 |
0 |
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logPQ |
LogP + Log Q |
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Log P/Q |
LogP-Q |
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LogP² |
2logP |
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General term for Arithmetic progression |
a + (n-1)d |
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General term for Geometric sequence |
ar^(n-1) |
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Arithmetic progression Sn |
= n/2(2a + (n-1)d) = n/2(a+l) |
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r<1 |
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r>1 |
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Geometric sequence sum to infinity |
A/r-1 |
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To find the coordinates of the point of intersection |
Simultaneous equations |
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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 |
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In the general form of the equation of circle C= |
f²+g²-r² |
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gradient of a tagent |
(x+g)/(y+f) |
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gradient of a normal |
(y+f)/(x+g) |
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Equation of a straight |
y=mx+c |
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point gradient form |
Y-y= m(x-x) |
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magnitude of a vector |
√(x²+y²) |
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Unit vector |
(xi+yj) / √(x²+y²) |
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a•b |
(i×i)+(j×j) |a||b|cosX= √[(x-x)²±(y-y)²] √[(x-x)²±(y-y)²] cosX |
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a•b=0 |
Perpendicular |