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thanks bob i was all messed up thinking that the question is just out of my league... but what if the circle was mod(z)=2 what would be the other two vertices z2 and z3?
hi bob bundy i really struggle at such questions whenever i see "find the possible number of values of a for blah blah equation having a as coefficient" can you suggest me any way of tackling such questions btw i did not understand your answer from the part after the graph like how did you restrict the value of a?
well the mod of complex number gives it's distance from the origin of argand plane but the mod of z1 is sqrt(1+3)=2 so it's inside the given circle? or is my concept of modulus of a complex number wrong?
integral of cot(x)= -cosec^2(x)+c
??
Where did that come from?
Bob
ganesh wrote that in his list of formula's just check it once.. you will find my question and i don't think i misunderstood integration for differentiation. if you can show me how is it that we have two formulas for the integration of same function i would appreciate that alot
no, i did not know can you send me the link?
i read a question saying" if z1 z2 and z3 are the vertices of an equilateral triangle inscribed in a circle mod(z)=3 and z1=1+isqrt(3) what is z2+z3" but the equation of a circle doesn't seem to right (that's what i think but i am not sure) can anybody please explain me is this question even right and is it possible to have such an equation for a circle (in argand plane). i would like a simple explanation which a high school going guy can understand. thanks for the help guys appreciate it.
thanks good to know that....
if z=2+ia y=b+i2 x=0 are vertices of an equilateral triangle such that a, b are
real numbers such that a, b ∈(0,1) then which of the following is true?
1.)a=b=4+2sqrt(3)
2.)a=2, b=sqrt(3)
3.)a=sqrt(3),b=2
4.)a=b=-1+sqrt(2)
i found that a=b=4+2sqrt(3) or 4-2sqrt(3) but due to the condition a,b ∈(0,1) i choose 4-2sqrt(3) but it's not even in the options the answer sheet says that the right answer is 4.)
why is it so?can anybody please help me out on this one
sorry it's actually n=2m-1 and the ratio comes out to be 6m+1/4m+5 which is the same as got by Elaina but much faster and simpler.. the idea was to get the m'th rem of the A.P. but taking n-1=2(m-1) we get that term on both numerator and denominator and cancel out the '2' which is common to both of them
sorry to jump in but i do think that the ratio is for the sum of n terms of two series just solve it like
3n+4/2n+7=sum of n terms of Ist a.p/sum of n terms of 2nd a.p.
3n+4/2n+7=n/2*{2a+(n-1)d)/n/2*{2b+(n-1)c).....-(i)
where a and b are first terms of 1st a.p and 2nd a.p and d and c are common difference of 1st and 2nd a.p
solving that and putting n-1=2(m-1). n=2m+1 and hence using this value of 'n' the R.H.S. of eq. (i) becomes the ratio of mth terms of 1st and 2nd terms while the L.H.S. gives its value in terms of 'm' i had this problem in my higher secondary exams and this was the right answer
thanks Shivam i just needed somebody like you to tell me "take it easy" thanks i will try to follow your advice
oh cool! thanks bobbym.... those two forms seem quite interesting i might even challenge others to solve questions based on these...
thanks i did too...
integral of cot(x)= -cosec^2(x)+c but integral of cot(x)=log(sin(x))+c why do we have two results for the integration of the same function? @ganesh
if a,b and c are in geometric progression and x and y are the arithmetic means of a and b and b and c repsectively what is the value of
(a/x)+(c/y)=?
options range from : 0,1,2,3,4,5,6,7,8,9
please explain how to solve this
thanks i appreciate your help
thanks Shivam i am about to write the JEE next year but i have been having trouble trying to solve the problems from M.L.Khanna is there any plan that i should follow to finish the book and it's problem in this limited time period? i would appreciate it if you can tell me how you practiced for maths and chemistry cause physics has been very easy for me
beacuse i was challenged to find one innovative and simple smart way of finding the answer to the nested irrational btw thanks for the term
hi guys... i am having tough time dealing with iit jee maths... can anybody who has attempted it and has been successful please give your precious advice to me... what do i need to practice maths for jee advance exam plus i tried M.L.KHANNA's book it's too huge and time consuming to even solve a single chapter how can i solve them all?
yeah same here... but i used log on this series and made it easier... but i am looking for some innovative way of finding the answer
hi guys.... i was given a challenge to find the answer to the series that i am going to give you all now... i was asked to find it's answer in the simplest and shortest form. i actually did find it's answer but in a 'page long' form and i wanna confirm it with you guys so please try to find it's answer and tell the shortest approach to it's answer
find the value of sqroot(9*sqroot(8*sqroot(7*sqroot(6*sqroot(5*sqroot(4*sqroot(3*sqroot(2*sqroot(1)))))))))
FYI i do know that sqroot of 1 is just one but just for the consistency of the series it's there.... i hope to get it's answer pretty soon
thank you guys
cheers....:)
Hi;
basic calculus is all you need
Welcome! Who said that? Need for what? For physics? Yep! For computer science? Nope!
learn to apply them in any type question for exams or real life situaions
That will take a bit longer. I have been trying for 86 years!
t
well, i need it for physics and one of my friends, Mohit said me that...
thanks guys..... i will surely look into it and where can i find "sal's videos" @Shivamcoder3013....
i have heard all about extremely uneasy things about calculus... "it's a throat-chocking concept and so on" but, thank god that few people have also said things like "basic calculus is all you need and it isn't a big deal". i have heard few things about integration and differentiation and also read the topic of limits on mathisfun.com.... i would like to learn basic calculus and learn to apply them in any type question for exams or real life situaions...:)