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if y(1)=1 , y'(1)=1 and xyy''+xy'2 =3yy' then find y2(2) ??? 8.5 ...
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Two small equally charged spheres each of mass m are suspended from the same point by silk threads of length l. The distance between the spheres is x<<l . find the rate dq/dt with which the charge leaks off each sphere ...
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If a charged glass rod is held near one end of an insulated uncharged metal rod . the electrons are drawn to one end . Q1: Why does the flow of electrons cease?considering that there is an almost inexhaustible supply of elect ...
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Q. Find the equation of the circle circumscribing the triangle formed by the lines :x+y=6 , 2x+y=4, and x+2y=5 , without finding the vertices of the triangle? ...
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if y=mx be the equation of the chord of the circle x2 +y2 -2ax=0 ,then find the equaiton of the circle of which this chord is the diameter? ...
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An indirectly heated filament is radiating maximum energy of wavelength 2.16*10-5cm Find the net amount of heat energy lost per second per unit area. the temperature of surrounding air is 13°C .Assuming it as black body .Giv ...
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if x2 -xcos(A+B)+1 is a factor of the expression 2x4+4x3sinAsinB-x2( cos 2A+cos 2B)+4xcosAcosB-2 Then find the other factor. ...
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Two carbon discs of 1.0 g each are 1.0 cm apart have equal and opposite charges. If forces of attraction between them is 1.0*10-5 N. calculate the ratio of excess electrons to total atom on the negatively charged disc. (permi ...
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The number of ordered pairs (a,b) such that the equations ax+by=1 and x2 +y2 =50 have all solutions integral ??? ...
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f(x)=x2 -2x-a2 +1 g(x)=x2 -(a2 +a+1)x+a2 +a Q1. The number of values of a for which f(x)=0 and g(x)=0 have exactly one common root. Q2. The range of a for which the bigger root of g(x)=0 is greater than the bigger root of f(x ...
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Q1. Two particles 1and 2 move with constant velocities v1 and v2 .At the initial moment their radius vectors are equal to r1 and r2. How should these four vectors be interrelated for the particles to collide? I could not unde ...
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Two parabolas y2=4a (x-lambda1) and x2=4a (x-lambda2) always touch each other(lambda1,lambda2 being variable parametres). then their point of contact lies on a ...
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The angle between tangent drawn from the point (3,4) to the parabola y2 -2y+4x=0 is ...
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BC is latus rectum of a parabola y2=4ax and A is its vertex , then minimum length of projection of BC on a tangent drawn in the portion BAC is ...
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The pH of an aqueous solution of Ca(OH)2 is 12. If the Ksp of Ca(OH)2is 9*10-6, then the concentration of Ca2+ ions in the solution in mol L-1 is___? ...
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Q. One litre of water contains 10-7moles of H+ions.Degree of ionisation of water is----------? The answer is :1.8*10-7% ...
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What is meant by isohydric solutions??? ...
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Find the equation of the parabola whose axis is parallel to y-axis and which passes through the points (0,4) (1,9) (-2,6) and determine its latus rectum.??? ...
