Recently Active Mathematics Questions

Find the Orthocentre of the triangle ABC where A=(a cos x1,a sin x1) B=(a cos x2,a sin x2) C=(a cos x3,a sin x3) ...

How many 1s are there in the result of 1 + 11 + 111 + ... + 11..111 (which is 2002 ones) ...

Please explain this question, how the solution has been obtained? *Image* ...

for what values of "m" is y=0,if y=x2+(2m+1)x+m2-1?x is a real number. ...

a problem similar to a few posted so far.... (Just for practice) What are the last digits of ? a) 22222222 10 times b) 333333 6 times c) 44444 5 times d) 7777777...... 8 times e) 888888 8 times... ...

What is the minimum distance between circle x2+y2=9 and curve 2x2+10y2+6xy=1? this was earlier done by kaymant sir in a way which didn't strike me,so get an easier method sir.. ...

1) Express the complex number 1 / [1 - (cos θ + i sin θ )] in the cartesian form. 2) Prove that [(1 + cos θ + i sin θ) / (1+cos θ)] n = cos n θ + i sin n θ. 3)(a)If c2+s2=1 ,then evaluate (1 + c + i s) / (1+c- i s) (b) ...

This turned up in 1 of the RMO's of WB region, I found it nice while solving, so flicked it here - Prove the sum 1/1001 + 1/1002 +.... 1/3001 lies between 1 and 4/3 . ...

Find f(x) if f(x)= \lambda \int _{0} ^ { \pi /2 } \sin x \cos t .f(t) dt + \sin x ...

Find value of \int _{0} ^ {n \pi } sin[ \frac {2x}{ \pi } ] ...

\int_{0}^{ \pi /4}{\frac{x^2}{(x \sin x + \cos x)^2}}dx ...

1) If sin x + sin y = 3(cos y - cos x), then find the value of sin3x + sin3y ? 2) If sin (x/2) + cos (x/2) = -1/2 , 3pie/2 < x < 2pie, then the value of sin2x? ...

Prove \int_{0}^{\pi}{x.f(\sin x)}dx=\pi \int_{0}^{ \pi /2}{\sin x dx} ...

i have a dbt in evaluating this limit,the buk has a diff ans *Image* ...

If l log1/ 3 lzl2-lzl+1/2+lzl l<2 then find all possible values of lzl ...

Find value of (a+ib)m/n +(a-ib)m/n ...

(1) find value of x in cos7x+sin4x = 1 ...

Prove that the determinant -- sin 2A sin C sin B sin C sin2B sin A sin B sin A sin2C =0 where A,B,C are the angles of a triangle. ...

the statemnet is sin4π{x}=sin(4πx) for all x εR its given to be true... but i dont think it to be.... what do u say ? ...

∫dx/cosx√cos2x ...

Let 3 points A,B,C with affixes z1,z2,z3 respectively lie on unit circle lzl=1.AD is perpendicular to BC and AD is produced to a point E on circle lzl=1 Q1 Find orthocentre of ΔABC Q2 Find the affix of point E ...

Considr ΔABC in argand plane.Let A(0),B(1),C(1+i) be its vertices and M be mid point of CA.Let z be variable complex number in the plane.Let u be another variable complex number u=z2+1 Q1Find locus of u when z is on BM Q2FIn ...

In ΔABC A=(1,2). Internal angle bisectors through B and C are y=x and y=-2x. Inradius of ΔABC is: A) 1/√3 B) 1/√2 C) 2/3 D) None of these ...

solve cos2x-sinx=0 ...

D interval in which y=x2e-x is increasing is A. (-∞,∞) B.(-2,0) C.(2,∞) D.(0,2) & also show how u did this. ...

i am excited to see the solution: (a-b)(b-c)(c-a)=a^{2}+b^{2}+c^{2} ...

*Image* ...

evaluate: ∞ Σn=1(sin(nθ))/n ...

Q1If ω is non real complex cube root of unity tehn find value of \frac{\prod_{p=1}^{4}{(\omega +\alpha ^p)}}{\prod_{q=1}^{7}{(\omega ^2-\alpha ^q)}} Q2 If n beolgns to N then value of \prod_{r=1}^{n-1}{\sin(r\pi /n)} ...

Let f(x) = max{x,0} for all x belonging to R and f(xy) is not equals to f(x) f(y), then show that x <0 , y<0 ...