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tanθ+tan(θ+60)+tan(θ-60)=k tan 3θ,where k is equal to: a)1 b)2 c)3 d)4 ...

Given are Positive integers not exceeding a fixed integer constant M. If the LCM of every 2 of them is greater than M,prove that the sum of the reciprocals of these numbers is less than 3/2 ...

1) show that the normal at the point (3t , 4/t ) of the curve xy = 12 cuts the curve again at the point whose parametr t1 is given by t1 = -16/9t3 ...

find all the tangents to the curve y = cos ( x+y ) ,-2pi≤x≤2pithat are parallel to the line x + 2y = 0 ...

Q.1. The number of terms of an A.P. is even;the sum of the odd terms is 24,of the even terms is 30,and the last term excceds the first term by10 1/2 ,find the number of terms and the sries. ...

1.) Two +ve charges Q and 4Q are fixed at distance 12cm. Sketch lines of force and locate null point. 2.) Two point charges q and 4q are kept at a distance r from each other. While showing electric line plot indicate the neut ...

Anyone know what to do to request a duplicate AIEEE score-card ? they' ve given we have to send a demand draft but they forgot to mention where to send it ... ...

Let θ[0,45] and t1=tanθtanθ, t2=tanθcotθ, t3=cotθtanθ, t4=cotθcotθ, then: a)t1>t2>t3>t4 b)t4>t3>t1>t2 c)t3>t1>t2>t4 d)t2>t3>t1>t4 ...

Hey friends plz help me in this....... I want to clear my concept........ What will be the Eq. resistance b/w the points A and B.... Each resistance in the circuit is equal to 5 Ω *Image* According to CBSE syllabus...... Req ...

Q1 what are the reactions involved when phosphoric acid h3po4 is titrated using naoh standard solution? Q2 when h3po4 is titrated using naoh solution, phenopthalien end point and methyl orange end points are observed clearly ...

Hey...guys..... can neone plz help me..... i am totally confused abt this concept of charging nd discharging of the capacitors.... what does the term Q = Q0 e-t/RC represent ???? same is the case for current , power, energy a ...

1.Prove that sin(3x) = 4sinx.sin2x.sin4x 2.Solve : cosx(1+sin x/4 - 2cosx) + sinx (cosx/4 - 2sinx) = 0 3.solve : cos 3x + cos 2x = sin 3x/2 + sin x/2 , x=(0,pi) 4.solve for x and y : cos2x + cosx.cosy + cos2y = 0 ...

What is the minimum value of 9sec2x + 10cosec2x for all x belongs to R?? ...

Prove: sinx/cos3x + sin3x/cos9x + sin9x/cos27x = 1/2 (tan27x-tanx) ...

If the first and the (2n-1)the terms of an A.P. , G.P. and H.P. are equal an their nth terms are a, b, c respectively, then (a) a=b=c (b) a≥b≥c (c) a+c=b (d) ac-b2 = 0 ...

( 2 +1)x+( 2 -1)x =6x/2 ...

1)) \lim_{x\rightarrow \propto } sinx/x 2) \lim_{x\rightarrow 0} \frac{\sqrt{(1-cos2x)/2}}{x} ...

solve 1) | x2+x+1|=3 2) |x|x2-x-2=1 ...

Find the values of α and β, 0<α, β < Π/2, satisfying the eqn - cos α cos β cos (α+β) = -1/8. ...

If cos π/7 , cos 3π/7 , cos 4π/7 are the roots of the equation 8x3-4x2-4x+1 = 0 then the What are the values of expressions sin π/14 sin 3π/14 sin 5π/14 and cos π/14 cos 3π/14 cos 5π/14 ???? ...

Find: limn→∞Σ 1 to n: r/(4r2+1) ...

x+ log10(2x+1) =log106 +xlog105 ...

In which case would boiling of 1 kg water be quicker a)In a flat pan of negligible height b)In a very thin capillary of length 76cm ...

*Image* P-V diagram of same mass of a gas are drawn at two different temperatures T1 and T2 . Explain whether T1 > T2 or T2 > T2 My answer was T1 > T2 but given is T2 > T2 am i correc t or wrong also i do have a e ...

Can you friends plz help me in this...... All resistances are equal to RΩ. Calculate the effective resistance b/w A and B. *Image* ...

*Image* Consider the situation shown in the figure. the capacitor A has a charge q on it whereas B is uncharged. What amount of charge will appear on the capacitor B a long time after the switch S is closed: (A) zero (B) q/2 ...

If f(x)= \sqrt{\frac{x-sinx}{x+cos^{2}x}} then find \lim_{x\rightarrow \propto } f(x) ...

find the no. of solutions of the triplet (a,b,c) for which acos 2x+bcos2x+c=0 is satisfied for all values of x. ...

IMO 2010 is currently underway at Kazakhstan. The actual competition will be on 8th-9th as far as I can make out. http://michaelnielsen.org/polymath1/index.php?title=Imo_2010 will feature a joint effort at solving the toughes ...

Q) Which of the following statements is/are false? a) If two particles are neither approaching nor separating from each other, then their relative velocity is zero. b) Four dogs are running along a line in same direction, suc ...