AITS

may be 4..(just a guess)

correct question is (its from fiitjee AITS )

|sin∩x/2 + cos∩x/2 | = √|(ln |x|)^3|+1 (whole sqrt)

square both sides

=> [ln|x|]^3 + 1 = sin∩x + 1
=> [ln|x|]^3 = sin∩x

draw the graph of sin∩x and LHS

no. of solutions = 3+3=6

if u r facing problems in finding their intersection point ,do tell me, i will help :) .. pretty easy though

clear or not??

here is the original graph

directly plotting LHS and RHS as given in question

also visulalise that x coordinate of intersection is same in both the graphs..this is what i wanted to show u :) ..this is difficult to plot but i took the help of graph generator. first one is easy just keep chking the values of ln1,ln2,ln3..(there cube actually) and decide whether it will intersect the given branch of sinpi*x or not

http://www.walterzorn.com/grapher/grapher_e.htm

:)

Ans given is 4.

its wrong obviously...see the graphs mate

how can AITS ans given b wrong :(