Recently Active Mathematics Questions

What is the value of (1+cos π/9 )(1+cos 3π/9 )(1+cos 5π/9 )(1+cos 7π/9 ) ...

question by me...:P draw the graph of y=1/1+x2 very simple graph...:P ...

\lim_{n\rightarrow \propto } \frac{\left[1^{3}x \right]+\frac{1}{2}\left[2^{3}x \right]+\frac{1}{3}\left[3^{3}x \right]+......+\frac{1}{n}\left[n^{3}x \right]}{1^{2}+2^{2}+3^{2}+...+n^{2}} , where [.] denotes greatest integer ...

Q1] If ax2 -bx + 1 = 0 have 2 real roots (a,b are real) , then the greatest value of 2a-b is ? a] -1/2 (b] 0 (c] 1/2 (d] none Q2] Let the equation of a curve , x = a(θ+sinθ) ; y=a(1 - cosθ) If θ changes at a const rate k ...

Q1 solve for x: [lnex]( x2011 + 2011x - 2011) - [lne(1/x)]2011 = 0 ...

1) a chess board is labelled from nos 1 - 64 a term is defined as the score of labelling score of a particular labelling is the largest difference b/w 2 labels in squares sharing a common side or vertex. what is smallest poss ...

Σ cot-12n2 n→∞ ...

solve for x 1) (x2+2)2 + 8x2 = 6x (x2+2) ...

If a circle of radius r is inscribed in a n-sided regular polygon,and the perimeter is 2p,find the polygon's area. ...

for the eq 3x2 +px +3 = 0 , p>0 if one of the roots is the square of the other then p is equal to ...

Find the no. of values of x belongs to R for which 64^(1/x) + 48^(1/x) = 80^(1/x) plzz give the full soln... ...

(1.2.4+2.4.8+3.8.12...to n terms/1.3.9+2.6.18+3.12.27+.....to n terms) plz...i need it urgently that's why i am posting here,otherwise i would post it in 9-10.sry. ...

find the no. of factors ( excluding 1 and the expression itself ) of the product of a^7 b^4 c^3 d e f where a b c d e f r all prime nos..?? plzzz provide the full soln.... ...

Solve:(x+4)(x+7)(x+8)(x+11)+20=0 ...

Let R be the set of real numbers. Suppose f : R → R be a continuous and periodic function with period T > 0. Prove that for every a < b, \lim_{n\to \infty} \int_a^b f(nx)\ \mathrm dx = \dfrac{b-a}{T}\int_0^T f(x)\ \ma ...

Find the length of the chord of the ellipse x2/25 + y2/16 = 1 , whose middle point is ( 1/2 , 2/5 ) . ...

A triangle,a circle,and a square are isoperimetrical.Arrange the areas in increasing way. Please urgent. ...

1.How many 4 digit numbers divisible by 4 can be made with the digits 1,2,3,4,5 if repitition of the digits is not allowed? 2.Determine the number of natural numbers smaller than 104,in the decimal notation of which all the d ...

find the no. of ways of distributing 10 identical balls in 3 boxes so that no box contains more than 4 balls and less than 2 balls... ...

If f(x) \epsilon [1,2] when x \epsilon R and for a fixedreal number p f(x+p) = 1 + f(x)- {f(x)}2 for all x \epsilon R then prove that f(x) is a peroidic function. ...

Find the following limit for \alpha >1 : \lim_{n\to \infty} n\left(\dfrac{1^\alpha + 2^\alpha + \ldots + n^\alpha}{n^{\alpha+1}}-\dfrac{1}{\alpha +1}\right) Here n is a natural number. ...

TOTAL 2 PROBLEMS *Image* It Came in IITJEE 1999 How To Solve This One ?? PLease solve it in DETAIL Stating HOW you got this ! *Image* Answer in "nCr" or Factorial Form !! ...

1) How to evaluate dis ?????? *Image* How to evaluate dis ?????? ...

Mr and Mrs. Bajaj invite three other couples to a party and as usual some people shake hands. Spouses do not shake hands with each other. At the end of introductions, Mr. Bajaj asks all others including Mrs. Bajaj how many ti ...

Let {D1,D2.......,Dn}be the set of all third order determinants that can be formed with the distinct non-zero real numbers a1,a2....,an,then (A) \sum_{i=1}^{}{n} Di=1 (B) \sum_{i=1}^{}{n} Di=0 (C)Di=Dj for all i,j (D) none. A ...

Can we find a non-const. Polynomial which is prime for all integers x? The co-efficents of the Polynomial are all integers. ...

due to lack of QOD's i had started googly from ATGS ... now that we are getting ample number of QOD's and no Graph of the day's i start this trend now :P:P Draw the graph of: y=|[x]|{x} the first graph is always easy :D ...

Find Minimum value of (s+5 - 3|cost|)2 +(s - 2|sint|)2= ...

All of u know that Lim (Sin x)/x = 1 x→0 What will be the value of the exp if x → ∞ ...

*Image* PLEASE EXPLAIN THE APPROACH CLEARLY ...