E-Store[himanshu]....shortcuts 2
23 Nov 2007 18:40:22 IST
[himanshu]....shortcuts 2
Heyyy
well some more help frm my side for my dear goiitians
HOPE IT WILL HELP U ALL....
1St of all.....to find square root
z = a + ib
its sq root =
+- [( 
(| Z | + a )/ 2) + i (( | Z | - a) / 2)]...(if b > 0)
(| Z | + a )/ 2) + i (( | Z | - a) / 2)]...(if b > 0)if b < 0
then its -ive sign before i
2) | z - z1|/ |z - z2| = k
then locus is a circle if k =/= 1
and its a straight line if k = 1
3)|z - z1| - |z - z2| = 2a , then locus =
(i) ellipse , if 2a > |z1 - z2|
(ii) hyperbola , if 2a < |z1 - z2|
4)in qs like..
|z - z1| + |z - z2| = constant
and coeff of z on both mods is 1 then for sure its locus is an ellipse
and if coeff are different , then it will be parabola for sure
5)z1 and z2 are 2 complex no.s such that
|z1 + z2| = | z1| + |z2|
progressions
if given an = 2n + 1....and given its an AP...
then the common diff = coeff of n
i.e 2 here
an = 5n + 1 , then C.D = 5
7) in case sum is given , An2 + B
then common diff = 2 (coeff of n2)
i.e 2A
8) in case of AM inserted
a , A1 , A2.....An , b
common diff d = b - a / n + 1
n = no. of inserted terms...
THESE ARE SOME OF THE SHRTCTS....
MORE ARE COMING SOON
hope these all help....plzz cpmment if u like it....
Comments (13)
23 Nov 2007 21:27:32 IST
Like
0 people liked this
as usual....its a very nice article bro..keep goin !!!!...
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