Recently Active Questions

hey guys! there is a very popular problem... but the thing is dat i for go the trick ... two masses m1 and m2.. and a massless pulley... as usual.. theya re moving wid some acceleration.. the thing is : let m1 be stopped for ...

If f(x)is be periodic with period λ & f(-x)+f(x) =0 Prove that ax∫f(t)dt is periodic with λ ...

y = sin{x} where {} is Fractional part?? ...

determine the smallest positive value of x in degrees fro which tan(x+100) = tan(x+50)tanx tan (x-50) all angles in degrees! ...

lim sin( x )/ x x→0+ ...

Well I have noticedd that some of you have gone crazy about the smileys recently... here is a treat for you ;) Nothing great or serious.. just that we added 300 more smileys to the existing 16-17!! for instance [300] [200] [2 ...

if |2iz1-z1-z2|/|2iz1+z1+z2| = |cosx-isinx|/|cosx+isinx| then z1/z2 is a)purely real b)purely imaginary c)complex number with real part as positive d) complex number with real part negative ...

A block of mass 2m is hanging at the lower end of a rope of mass m and length l . THe other end is fixed to the ceiling .A pulse of wavelength λ0 is produced at the lower end of the rope,what is the wavelength of the pulse w ...

Line L has intercepts a and b on the axes,the axes are rotated thru a certain angle,now the intercepts are p and q , then A)a2+b2 = p2+q2 B)1/a2 + 1/b2 = 1/p2 + 1/q2 C)a2+p2 = b2+q2 D)1/a2 + 1/p2 = 1/b2 + 1/q2 ...

*Image* two blocks are kept on a smooth horizontal table.... they are interconnected by an ideal spring of spring constant k..... A force is aplied as shown....... findthe max. compression of the spring. Ans: m1F/(2k(m1+m2)) ...

Prove that a triangle ABC is equlateral if and only if tan A+tan B + tan C = 3 3 ...

A semicircular thin coil of mass M kg and radius R m is hindged at one end A and lies in a vertical plane. At time t=0 the coil was ignited to burn its mass at constant rate K kg/s. Assuming total conversion of mass into ener ...

A = ((B^x)/(C^y + E^z)) + M^n - S^p............ errorrs(uncertainty) of +/- u,v in B and C respectively and ya both M and S and E hav an uncertainty of g,h,i respectively THODA LAMBA HAI PAR I GUESS it deals wid ALL DA CONCEP ...

this is a passage question..........i solve d the rest of them but cant do this one..... A point is moving on curve S such that at any instant the slope is proportional to ratio of absicca with ordinate of point and area boun ...

In a \Delta OAB , E is the mid pt of OB , D is such that AD:DB = 2:1 if OD,AE intersect at P ,find OP:PD @priyam,corrected the question,D is a pt on AB ...

1)why is luminous efficiency small for a filament bulb as compared to a mercury varour lamp? 2)the yellow colour has greater luminous efficieny as compared to the other colours Can we increase the illuminating power of a ...

a force F\vec{} = -k(yi\dot{} + xj\dot{}) (where K is a positive constant) acts on a particle moving in the xy plane starting from the origin the particle is taken along the positive x axis to the point (a,0) and then paralle ...

Evaluate 3(\sin x- \cos x)^4 + 6(\sin x + \cos x)^2+ 4 \sin^6x+4 \cos^6x IIT JEE 1975 ...

a force F\vec{} = -k(yi\dot{} + xj\dot{}) (where K is a positive constant acts on a particle moving in the xy plane starting from the origin the particle is taken along the positive x axis to the point (a,0) and then parallel ...

A variable line with -ve slope passes thru \left(8,2 \right) with intercepts on the axes being P and Q , find min(P+Q) ...

Prove \frac{sin 2A+sin 2B+ sin 2C}{Cos A + Cos B + Cos C-1}=8cos\frac{A}{2}cos\frac{B}{2}cos\frac{C}{2} This is from IIT JEE 1977 ...

Two planes P1 and P2 pass through origin. Two lines L1 and L2 also passing through origin are such that L1 lies on P1 but not on P2, L2 lies on P2 but not on P1. A,B< C are three points other than origin, then prove that t ...

Maximum value of \cos(\alpha_1)\cos(\alpha_2)...\cos(\alpha_n) under the restrictions 0\leq \alpha_1, \alpha_2, .....\alpha_n \leq \pi/2 and cot(\alpha_1)cot(\alpha_2) .....cot(\alpha_n) = 1 is? ...

Please give ur feedback and how much r u ppl expecting?? ...

*Image* ANS : % Fe3O4 = 34.8; % Fe2O3 = 49.33 ...

Sides of a triangle are in ratio 1: 3 :2 angles are in ratio? ...

A+B+C= π prove that \cot(A/2)+\cot(B/2)+\cot(B/2)=\cot(A/2)\cot(B/2)\cot(C/2) ...

Another IIT JEE question inspired! f(x) = sin2x + sin2(x+pi/3) + cos x cos (x+pi/3) find f(2) ...

Prove: cot A - tan A = 2 cot 2A Hence prove tan A+2tan2A+4tan4A+8 Cot 8A =Cot A ...

The tensile stress in a steel wire is 2*10^8 N/m^2 .What is speed of transverse wave in the wire.Density of steel is 7.8g/cm^3 ...