Recently Active Mathematics Questions

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 ...

some one tell wats ∫tan-1x ...

If f(x) is a quadratic expression in x and [6\int_{0}^{1}{f(x)dx}]-[f(0)+4f(\frac{1}{2})]=kf(1) then k=???????? I did it by assuming f(x)=ax2+bx+c..and got answer in 3 steps..... Is there any other quicker or elegant method t ...

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solve thius if tan(45+y/2)=(tan(45+x/2))3 then prove that siny/sinx=3+sin2x/1+3sin2x ...

GIVEN a,b,c,d ≥ 0 such tha abcd=1 , prove that \frac {1}{(1+a)^2}+\frac {1}{(1+b)^2}+\frac {1}{(1+c)^2}+\frac {1}{(1+d)^2}\geq 1 ...

Find Lim x----->0+ for the function f(x)= *Image* ...

(1+x)10 = a0 + a1 x +a2 x2 + ..... + a10 x10 then, (a0 - a2 + a4 - a6 + a8 - a10)2 + (a1 - a3 + a5 - a7 + a9)2 is equal to : ?? ...

Q) If y= cosx+ cosx+ cosx ...... Prove that (2y-1)dy/dx+sinx=0. ...

\int_{\pi}^{2\pi }{[2sinx]} where [] is gint... vaise solve karne par ans -5 pi/3 hai par graph se ans -2pi aa raha hai....... why the diff?????? i know i am commiting a blunder..but that will surely help me in future ...

What is condition that circles z\bar{z}+\bar{a_{1}}z+a_{1}\bar{z}+b_{1}=0 and z\bar{z}+\bar{a_{2}}z+a_{2}\bar{z}+b_{2}=0 where b_{1},b_{2} \epsilon R intersect orthogonaly??? ...

A: If z is a complex no. (z≠1) then \left|\frac{z}{\left|z \right|}-1 \right|\leq \left|argz \right| R:In a unit circle chord AP≤ arc(AP) ...

A:If x2+x+1=0,then value of (x+\frac{1}{x})^{2}+(x^{2}+\frac{1}{x^{2}})^{2}+......+(x^{21}+\frac{1}{x^{21}})^{2} is 42 R:ω,ω2 are roots given by equation x+\frac{1}{x}=-1,x^{3}+\frac{1}{x^{3}}=2 ...

Pls post solution of test which you posted (T-276). plzzzzzzzzzzzzz. :) ...

suppose there are 997 points given in a plane. if every two points are joined by a line segment with its mid point coloured in red, show that there are atleast 1991 red points in the plane. can u find a special case with exac ...

given: f(x) + f(1/x)=f(x)*f(1/x); f(4)=17; question:find f(7)? ...

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 ...

plz ans bataoo........mera 3 aa raha hai...... Let α,β,γ are roots of ax3+bx2+cx+d=0 then \sum{(\frac{\alpha +1}{\alpha -1})(\frac{\beta +1}{\beta -1})}=? ...

A non zero polynomial with real coefficients has the property that f(x)=f'(x).f"(x). The leading coefficient of f(x) is? A.) 1/6 B.)1/9 C.)1/12 D.)1/18 ...

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] ...

\int \sqrt{(x^4 + 1)/ (x^2 + 1) } ∂x ......................... (AKAND NE KAHA ISLYE) is this integrable????? IF YES, HOW?????? GIV DA FINAL ANS THEN........ ...

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

The chord AC of the parabola y2=4x subtends 900 angle at points B and D on the parabola . If A , B, C, D are represented by t1 , t2 , t3 , t4 then , show and find the relation BETWEEN t1 , t2 , t3 , t4 . ...

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

Let A be any set of 20 distinct integers chosen from the arithmetic progression 1,4,7,..............,100. Prove that there must be two distinct integers in A whoe sum is 104 . ...

ey-x dy/dx =ex-ey ...

Q1. lim(x→2a) [ x-2a + x - 2a ]/[ x2 -4a2] Q2. lim(x→∞)2x( x2+1 - x) ...

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

0 to Î /2 1+2cosx (2+cosx)2 ...