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let y=f(x) and y=g(x) be two continuos functions satisfying f(x+y) =f(x) +f(y) - 8xy for all x,y ε R and g(x+y)=g(x) + g(y) +3xy(x+y) for all x,y εR also f'(0)=8 and g'(0)=-4 then find f(x) a ...

The least value of P for which the two arg(z) and /z - 2√3i / = P intersect is _? ...

There is a linear current density K= 2a A/m in z direction , on the X=0 plane, what is the field due to this current in two regions X>0 and X< 0 ? ...

let f(x) ={-1 + sin (k1pie x) } , x is rational {1 + cos (k2pie x) } , x is irrational if f(x) is periodic function , then which of the following is correct (a) either k1 , k2 ε rational or k1 , k2 ε irrational (b) k1 , ...

Find the locus of the foot of the perpendicular drawn from the point (0,-c) and c>0 to the normals to the parabola x2=4ay. Find the locus of midpoint of chord of the parabola y2=4ax such that normals at their extre ...

*Image* Ever seen Nishant Bhaiya replying all post in hindi :P ...

*Image* ...

While deriving mirror and lens formula, we substitute for obj and img distance with proper sign following the carteian sign convention i.e. we have taken sign convention into consideration while deriving the formulae. But whi ...

A ball of mass m and radius r rolls along a circular path of radius R,Its speed at the bottom os path is v0 Find the force of the path on the ball as a function of theta *Image* ...

A disc is placed on ground.Friction coeffiocient is @.What is min force reqd to move the disc if it is applied at the bottom most pt. ...

If U use heres a method by which U can search in forums of targetiit from the address bar of Chrome.. :) From the right of address bar(from the drop down menu) click on options then under basic tab click on manage beside defa ...

The disc of radius R is confined to roll without slipping at A and B .If the plates have velocitites as shown,determine angular velocity of disc..... Ans=3v/2R *Image* ...

*Image* A point object is moving with a speed v before an arrangement of two mirrors as shown in figure.Find the velocity of image in mirrorM ...

[7] Letters of the word ASSASSIN are arranged randomly and one is selected. Find the prob that in the selected word no two S are together. [7] ...

two circles with radii r1 and r2, r1>r2≥2,touch each othere externally.Find angle between direct common tangents........... ...

These are the polynomial type graphs! 1) (x-1)(x)(x+1)4(x+2)3 2) (x-1)(x)(x+1)(x+2) 3) (x-1)(x)/{(x+1)(x+2)} 4) y-1=xy+x 5) (x+1)/(x-1) ...

A uniform rod of mass m and length l rests on a smooth horizontal surface.One of the ends of the rod is struck in horizontal direction at right angles to the rod.As a result the rod attains a velocity v.Find the force with wh ...

two forces F1 and F2 are applied on spool of mass M and moment of inertia I about an axis passing from centre of mass.Find the ratio F1/F2 so that force of friction is zero. Given I<Mr2 *Image* ...

hi my cousin has given print of his right thumb instead of left thumb in aieee form and send the form,and he is very worried now...plz tellis their any way...or what to do? ...

*Image* A ball is thrown towards a floor with speed u. The coefficient of restitution between floor and ball is "e".The speed with which ball rebounds is . ...

A cast iron column has internal diameter of 200mm .What should be the minimum external diameter so that it may carry a load of 1.6 MN without the stress exceeding 90N/m^2 ???? ...

The conducting concentric hollow spheres A and B have radii a and b respectively with A inside B.Their common potential is V . A is now given some charge such that potential becomes zero.The potential of B is __________ ...

A ring of radius R rolls on horz. ground with linear speed v and angular speed omega.For what value of theta the velociy of pt. P is in vertical direction (v<omega(R)) *Image* ...

sixteen balls of equal mass are strung like beads on a string, some are placed on a smooth inclined plane of inclinaton sin inverse (1/3) and the rest hang over the top of the plane. how the balls have been arranged if the ac ...

A solid sphere of mass m rolls down a incline plane of height h.Find KErot of sphere. ...

PLot the graphs of these! 1) 1/2x, 1x, 2x, ex on the same plane (sheet) 2) 2x, 2-x, 22x, 2-x on the same sheet! 3) 2x and 1+x3 on the same sheet! 4) [y]=[x] 5) [y+1/2] = [x] 6) [x] = [2y] 7) [2x] = [3y] 8) [2x ...

wich is d best method 2 prepare 2degree amine?? a)CH3Cl +NH3-----> b)CH3Cl--->(KCN) -------->(Sn/HCl) ----> c)CH3Cl--- ...

water vapour and steam both have the same amount heat present in tehm as latent heat . But , they don't cause the smae amoutn fo ahrm . WHY? might be simple yet useful I thik. ...

5.2g of a limestone was dissolved in dilute HCl and the solution was made up to 1 dm3. 25cm3 of this solution was treated with ammonium oxalate. The resulting ppt. of calcium oxalate was titrated against 0.111N KMnO4 in acidi ...

find teh coordinates of point from which the tangents are drawn to teh circle x2+y2-6x-4y+3=0 such that the mid pt of chord of contact is (1,1) ...