Recently Active Fundamentals Questions

1) [y]=[sinx] 2) \left|y \right|=\left(\left\{x \right\} -1\right)^{2} sunday hain na so extra work. hehe and ya they both are quite beautiful. trust me. but i like 2nd one more. ...

\left|y \right|=\log _{sinx}\frac{1}{2} ...

Eqtn of normal to hyperbola : y = mx \pm [m(a^{2} + b^{2}) / \sqrt{a^{2}-b^{2}m^{2}}] then if m takes higher values thn a2 - b2m2 bcums -ve [5] hayla yeh kya hua, kaise hua, hyun hua??? ...

1. If tan x > cot y , where tan x , cot y \epsilon N such that tan2x + 3 cot y and cot2y + 3 tan x are both perfect squares then A>x= \tan^{-1} (1) B>x= \tan^{-1} (4) C>x= \tan^{-1} (16) D>x= \tan^{-1} (64) 2.I ...

Q) An Electrical System has open-closed switches S1,S2,S3 as Shown Below: *Image* The Switches operate independently of one another and the current will flow from A to B either.If P(S1)=P(S2)=P(S3)=0.5 .Find that the circuit ...

As popular on the site now-a-days this thread is meant for learning conics. So anyone who want to learn conics can come out here and post some intreresting questions so,happy coniicing[1][1][1] ...

Draw the graph of sin(x+iy) ...

\left|y \right|=\left(x-\left[x \right] \right)^{2} iseh banao, accha dikhta hain i mean draw its graph ...

ITS da eqtn in 2 pt. form...... *Image* DOUBT : 1) HOW TO SOLVE A "COMPLEX" determinant??? [7] ........... Do v take modulus in da end?? ...

B luvs C, C luvs D, D luvs E, E luvs F, F luvs G, G luvs H, and H luvs A.... and 'I' have fallen in luv wid A..... a great love polygon .... no couple yet!! .... wat is the probability dat A will luv me ?? ...

post derivation of multinomial theorm........................ ...

*Image* A regular five pointed star is inscribed in a circle of radius r Find the area inside the star. ...

graph of x{y}=y{x} is..................x(y-I1)=y(x-I2) xy-xI1=xy-yI2 ...........(by opening the brackets) -xI1=-yI2 ..................(by applying higher level mathematics) xI1=yI2 ....................(by using the concept of ...

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Today's FULL Test XI AITS question.. [7] 1. Find.. lim (sin4x+sin4(2x)+...+sin4(2nx)) n→∞ 4 4n ...

given a quadratic equation f(x)=ax2+bx+c what are the conditions for 1}both roots to be greater than a specified number k 2}given number k lies between both the roots 3}both roots are confined within numbers p and q it would ...

THIS IS VERY MUCH FROM SYLLABU S[/ *Image* ...

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n lim Σ 1/(n+k+k2) n→∞ k=1 ...

lets see who can do this. this one`s for all oldies in this site like priyam ,skygirl.eureka,srinath, prophet sir, celestine, anirudh, sankara,unique,mak, NISHANT BHAIYAN, MANISH BHAIYAN, LOKESH BHAIYAN and others. { i miss r ...

Let f(x)=x2 but x2=x times x =x+x+x+x+x+..... x times =>f'(x)=1+1+1+1+1+....x times =x But dx2/dx=2x! How?! ...

A user for a secure internet service has a 20 digit key phrase. The key phrase is known by the user only and each digit in the key phrase has a value 0-9. When the user attempts to log onto the secure service he/she is asked ...

we have done a good amount of serious mathematics. just have a glimpse of mathematics humour ...

Planet X is a ball with center O. Three spaceships A, B and C land at random on its surface, their positions being independent and each uniformly distributed on the surface. Spaceships A and B can communicate directly by radi ...

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another brilliant one { only for those who now come to 12th class} {who are writing jee 2009, better leave this. u can sit on this after april 12. dont waste your time now.} Find all surjectyive functions f:N→N such that fo ...

The value of a2+b2+c2 where c=ab and a and b are consecutive integers is always c+1 (TRY IT OUT). This will be useful in vectors and 3-D to calculate the denominator in formula to find angle and to find easily unit vectors. P ...

A bag contains a coin of value M and a number of other coins whose aggregate value is m. A person draws one at a time till he draws the coin M. Find the value of his expectation. i like this problem , because its got a one li ...

There are 10 applicants for a job, labeled 1, 2, ... , 10. Their suitability for the job is ranked in this order (so 1 is more suitable than 2, who is more suitable than 3 and so on). But an applicant's ability is only measur ...

GREATEST MATHEMATICAL JOURNAL OF THE WORLD http://annals.princeton.edu/issues/issues.html ...