11what the hell is the use of using mod x 2 times in the ques[16]
21 Answers
11
6c forum down ur webpage....in black highlights....click...maths section algebra........
1CAN ANY BODY DO A PROBABILITY.,.,.PLEASE./.. A INFINITE PLANE WITH LINES PARALLELY PLACED AT A SEPARATION OF 2a EACH.,.,.A NEEDLE OF LENGTH OF LENGTH 2l.IS THROWN AT RANDOM IN THE PLANE.,.,FIND THE PROBABILITY.,.,OF THE NEEDLE TO HIT THE GROUND..(a<DASGUPTA..last one)
33its not done bcause it was easy and eureka also got that i think.. :)
33For the first one take for x>0 and same will be for x<0 as it is even fn...
Then it will be much simpler( remove one xtra | |)
y=±|2x+2|
This is a straight line modification...
draw y=2x+2 for x>0
and then reflect the entire graph over y axis.....
then similarly draw y=-(2x+2) on same graph.....
I think this much is more than enough and no need for the sketch....
62Question 1 by eureka..
I am sure that question is
|y| = ||x|2-3|x|-2|
62(sky...) hey check the -ve x axis side of the the graph 4
i think there are issues there!
1
this one is for q.no. 4...
plz check the graph..... correct me ,,, if wrong...
62good work priyam..
btw the hide feature is not for everything :)
it is for the places where ur giving the answer could affect the thinking ability of people :)
Like in the quesiton of the day..
or if there is some puzzle where the answer could take away all the thinking behind it :)
33now for 4 first draw elementary fnctns... e|x| and e-x and do the transformations....
If u say I'll post the sketches of few but u should try after this much hint.....
33for second....
0<y<pi
then convert it to
4-x2=cot(y)
Now x2=4-cot(y)
draw x=cot(y) (Remember u are drawing x as a fn of y)
then reflect it by y axis to get -cot(y)
add 4 to it (graph shifts to 4 units right
then see the nature of y=x and y=√x
so just take root of curve and of course x=±( )
also remember the condition on y........ i.e. 0<y<pi
