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In a triangle ABC , find the least value of, cot A/2 * cot B/2 * cot C/2 * cos A/2 * cos B/2 * cos C/2 ...

To the person who never showed his face, To the person who never told his name, But never hesitated to help. HAPPY BIRTHDAY eureka123 ...

lim (11+a1/x+(a+1)1/x+...+(a+n-2)1/x)x x→0 a>2 and nεN ...

Will the molecular orbital structure for N2- and O2+ and NO (all three have same no. of electrons) be same or different? What about their bond order? Explanation is required. ...

Find the accleration of block of mass M' with repect to the wedge of mass M,assuming all surfaces to be frictionless. *Image* ...

Q1 Let n and m be any two 3 digit numbers .Find total number of pairs of n and m so that n and m can be added without carrying Q2Let n and m be any two 3 digit numbers .Find total number of pairs of n and m so that n can be s ...

Let f(x) = 2007^{x}/(2007^{x}+\sqrt{2007}) then the sum f(1/2007) +f(2/2007)+.............................f(2006/2007)=? a.1004 b.1003 c.1003.5 d.1004.5 ...

Ques1) *Image* The figure shows a meter brdge circuit, with AB = 100 cm, X =12 cm and R =18 ohms, and the jockey is in the posn of balance.If R is now 8 ohm, through what distance will J have to be moved to obtain balance. (a ...

A uniform rope of mass m and length l is applied a force F on one end. What is the tension in the rope at a distance x from one end of the point of application of the force? (Assume uniform rope and that the cross section ...

*Image* a ring rolls without slipping on a horizontal surface .at any instant ,its position is as shown in figure a) section ABC has greater kinetic energy than section ADC b) section BC has greater kinetic energy than sectio ...

96) 50 ML of a solution containing 10-3 mole of Ag+ is mixed with 50 ml of a 0.1M Hcl solution. How much Ag+ remains in the solution? Ksp of Agcl = 10-10 a)2.5 * 10-9 b)2.5 * 10-7 c)2.5 * 10-8 d)2.5 * 10-10 59) Wats the ioniz ...

Arrange these according to the strengths of the σ-bonds they form along with proper reasons: s-s , s-p, p-p overlap of At. orbitals. ...

Schauspiel Solutions is a technological company which provides solutions to almost any technical problem. Considering the uniqueness of the name, and being headed by a very brilliant CEO, the company gathers a huge deal of pu ...

One integration, that has really taken a lot of my mind space... ∫(tan x)1/6dx ...

1) If k sin2x + (1/k) cosec 2 x = 2, for all x belonging to (0, pie/2) then cos2x + 5 sinx cosx + 6 sin 2x is equals to (a) (k2+5k+6) / k2 (b) (k2-5k+6) / k2 (c)6 (d) none of these choose the correct alternative 2) If lim x↠...

(y+ y3/3 + x2/2 ) dx + ( x+xy2/4 )dy = 0 solve the above differential equation ...

Prove that there are no perfect squares in the array below: 11 111 1111 ... 22 222 2222 ... 33 333 3333 ... 44 444 4444 ... .. .. .. 99 999 9999 ... ...

Two blocks A and B of mass Ma and Mb are connected together by a spring and are resting on a horizontal frictionless table.Thr block are then pulled apart so as to stretch the spring and then released.Show that the kinetic en ...

Let f:R→R such that for all x,y belongs R *Image* where n belongs N.Prove that f(x) is a constant function. ...

Let a and b be two primes having at least two digits, such that a > b. Show that 240 divides a4-b4. ...

A boy of mass 60 kg is standing over a platform of mass 40 kg placed over a smooth horizontal surface.He throws a stone of mass 1kg with velocity v=10m/s at an angle of 45° wrt ground .Find the displacement of the platform(w ...

Plz sketch the graph of (x2-x+1)/(x2-3x+2) ...

A plank of mass 2 kg and length 1m is placed on a horizontal floor. A small blockk of mass 1 kg is placed on the top of the plank, at it's right extreme end. The coeff of friction b/w the plank and the floor is 0.5 and that b ...

The wire of the potentiometer has resistance 4 ohm and length 1m. It is connected to a cell of emf 2V and internal resistance 1 ohm. If the cell of emf 1.2 V is balanced by it, show that the balancing length will be 75 cm. ...

1. If a,b,c be +ve real nos,prove that: a/(b+c) +b/(c+a) + c/(a+b) >= 3/2 ...

In in formation of the metal carbonyl compounds the dipole moment of the CO group should be considerable regarding the electronegativity difference of C and O but on the experimental basis the dipole moment comes out to be 0. ...

calculate pH of following solution a) 40ml of 0.050M Na2CO3 + 50ml of 0.040 M HCl b)40ml of 0.020M Na3PO4 + 40 ml of 0.040 M HCl give answers in terms of k1or k2 ...

Osama Bin Laden wishes all the members of this forum TIIT a Merry Christmas and a happy new year 2010. Just approx 3 months left for IIT JEE 2010. ...

Three particles of mass 20g,30g and 40g are moving along the positive direction of the coordinaate axes respectively with the same velocity of 20cm/s,when due to their mutual interaction,the first particle comes to rest,the s ...