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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 ...

I am a student of class 11. i want to give KVPY. I am not interested in biology. Is it a -ve for KVPY? secondly can any1 tell me from where to download the forms and last date of submission of it? ...

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 ...

Please Help me. I know it's a very easy problem for many of you out there. But somethings there I could not understand, please help me by devoting your few minutes. *Image* Find final Charges on each surface and the charge fl ...

*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 ( ...

*Image* find acceleration of blocks. pulleys are light & frictionless, strings are light and inextensible ...

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 ...

Which is best book containing Mock tests for IITJEE of approximately same level as JEE... Pls help! ...

two rods of equal length, Rod-1 along X-axis and Rod-2 along the Y-axis are placed in such a way that the mid points of the two rods are at the origin and the mid points are welded at the mid point. the rod-1 move with a velo ...

\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 ...

the pressure gauge has a spring of k=60 N/m and area of the piston is .5cm2. Its right end is connected to a closed container of gas at gauge pressure of 30 kPa. how far will the spring be compressed if the region containing ...

*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 ...

Which is best book containing Mock tests for IITJEE of approximately same level as JEE... Pls 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 ...

guys, a couple of years back, when i attended the Ntse interview they asked me this question for which i openly admitted that i do not know the and the ques was "what is the reaction between NH3and Mg?" till this date i dont ...

what happens when boiling water reacts with C6H5N2+Cl- ...

P4H10 is the anhydride of.... ...

Does the rate of a zero order reaction depend on temperature???? If not... WHY???? any one plzz reply... ...