Recently Active Mathematics Questions

Can we solve this one? p^q - q^p=1927? the answer given was(2,11).......... ...

In a regular pentagon, if the length of each side is a and that of each diagonal is b then find the numerical value of a2/b2 + b2/a2 Note : you are not allowed to use trigonometry in this..!! maybe complex can help ...

frnds,help me out. Q. the values of α for which the pt. (α - 1, α + 1) lies in the larger segment of the circle x2 + y2 - x - y - 6 = 0 made by the chord whose eqn is x + y - 2 =0 are options- (A) ( -1,1) (b) [-1,1] (c) [ ...

if |z1 + z2| > |z1 - z2| then prove that -pi/2 < arg(z1/z2) < pi/2 ...

*Image* help me please...!! ...

1. find the number of complex numbers satisfying |z| = z + 1 + 2i. 2. If z + √2 |z + 1| + i = 0 and z = x + iy then x = ? 3. if p2 + q2 = 1, p,q E R, then 1 + p + iq/1 + p - iq is equal to (A) p + qi (B) p - qi (C) q + pi ( ...

Title: Arihant Differential calculus Problem DOUBTS Question Details:Attachments In Differential Calculus by Arihant Publication Pg.no. 88 - Q.no. 2,3,5 Pg.no. 90 - Q.no. 15,17 Pg.no. 91 - Q.no. 29 FOR THOSE WHO DONT HAVE THI ...

$Minimum value of $\mathbf{\frac{\tan\left(x+\frac{\pi}{6}\right)}{\tan x}}$ ...

Is there any non-geometrical proof of sin(A+B)=sinAcosB+cosAsinB ...

\dpi{120} \hspace{-16}\frac{\binom{2010}{0}}{1.1}+\frac{\binom{2010}{2}}{3.4}+\frac{\binom{2010}{4}}{5.4^2}+\frac{\binom{2010}{6}}{7.4^3}+..................+\frac{\binom{2010}{2010}}{2011.4^{1005}}=\\\\\\ $Where $\binom{n}{r} ...

1) find the value of : 4cos20 - √3 cot20 2) 2cos40 - cos20/sin20 ...

*Image* If z1 and z2 are two complex numbers in the argand plane shown..!! then what does (z2 - z1) represent? ...

if iz3 - z2 - z + i = 0, then show that |z| = 1 The solution given in my book is something like this... (z - i)(iz2 - 1) = 0 so, z = i => |z| = 1 (i got it till here) but, (iz2 - 1) = 0 then how can |z| = 1 ?? (plese help ...

∫dx/(1+√x)^2010= 2[1/alpha(1+√x)^alpha - 1/beta(1+√x)^beta] +c where alpha, beta >0 A)|alpha-beta|=1 B)(beta+2)(alpha+1)=20102 C) beta and alpha are in A.P. D)alpha+1=beta+2=2010 ...

\hspace{-16}(1)\;\;::\int\frac{xe^x.(4+4(\cos x+\sin x)+\sin 2x)}{(1+\cos x)^2}dx\\\\\\ (2)\;\;::\int\frac{(4\sin x+3\cos x+\cos 3x)}{(2+\sin 2x)^2}dx ...

1) Find the range of sin2x + sinx - 1/sin2x - sinx + 2 2) Find range of cosx(sinx + \sqrt{sin^{2}x+sin^{2}\alpha }) ...

*Image* Let a ΔABC with <BAC=60°. Bisectors of angles <ABC and <ACB be BE and CF respectively. Let BE and CF intersect at I(Incentre). So, we get <BIC=90°+1/2(<BAC) =120° So, <BIC=2<BAC. Therefore I i ...

Q1. L1 ≡ ax+by+c and L2 ≡ lx+my+n , where a,b,c,l,m,n are real. L1+λL2=0 represent all lines passing through intersection of L1=0 and L2=0 (True/False)? ______________________________________________________ Q2. Lim(x→ ...

1) Find the set of values of a for which the function f(x)=x3+(a+2)x2+3ax+5 where f: R→R is one-one. 2) Find the condition for f(x)=ax3+bx2+cx+dsinx to be always one-one. ...

ANGLE BETWEEN THE LINES WHOSE DIRECTION COSINES ARE GIVEN BY EQUATION 3l + m + 5n=0 6mn - 2nl + 5ml=0 is ...

1) ∫(tanx)dx/(1-sinx) ...

please solve the following differential equation : dy/dx = 2y2 cosx+ y sin2x+2cosx sin2x/sin2x ...

\hspace{-16}$Find value of $\mathbf{x}$ in $\mathbf{\sqrt{2x^2-4x+4}+\sqrt{2x^2-12x+26}=\sqrt{26}}$ ...

Q1} How many ordered triples (a,b,c) of positive integers are there such that none of a,b,c exceeds 2010 and each of a,b,c divides a+b+c ? Q2} Let n be a positive integer. Prove that there are no positive integers x and y suc ...

Find all integers 'n' such that (7n-12)/2^n + (2n-14)/3^n + (24n)/6^n = 1 ...

∫[sinx + [2x/pi]] dx from pi/4 to pi/2 ...

I always was and am confused with POSITIVE and NEGATIVE signs for the square roots!So,please answer these seemily STUPID questions [1] so that i remain no longer confused! √4=? 41/2=? ...

1) tan9 - tan27- tan63 + tan81 =4 2) sin4 π/6 + sin4 3π/6 +sin4 5π/6 + sin4 7π/6 = 3/2 3)find the value of : 4cos20 - √3 cot20 4) find the value of : 2√2 sin10 [ sec 5/2 + cos 40/ cos5 - 2sin35] 5)sin212 + sin221 + si ...

consider 5-digit numbers formed using the digits 0,1,2,3,4,5 without repetition of digits. Q) the number of numbers divisible by 4 is ? Q) the number of numbers divisible by 12 is? Q) the number of numbers divisible by 15 is ...

\mathbf{\int\frac{\left(x-\sqrt{x^2+3x+2}\right)}{\left(x+\sqrt{x^2+3x+2}\right)}dx}$ provide complete solution. ...