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A disc of radius R is rolling purely with COM velocity vo on a flat horizontal floor when it hits a step in the floor of height R/4.The corner is sufficiently rough to prevent any slipping of the disc against itself.What is t ...
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A cylinder of radius R made of a material of thermal conductivity 7 is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The shell is made of a material of thermal conductivity 3. The two ends of the co ...
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A man throws a ball horizontally with a velocity vo from a distance of 4m vertically above the lowest point of the incline.He throws it towards the incline.The ball hits the inclined plane perpendicularly.Find vo?(g=10m/s2) ...
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Find eccentricity of the conic given by the equation y= x - 1/x ? ...
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1)Find the value of \fn_jvn \frac{\sum_{r=0}^{24}\binom{100}{r}\binom{100}{4r+2}}{\sum_{r=1}^{25}\binom{200}{8r-6}} 2)The largest term of the sequence 1/503 , 4/524 , 9/581 , 16/692 ... is 49/1529p Find p? 3)No of solutions o ...
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The greatest value of x3y4 if 2x+3y=7 and x, y ≥ 0 ...
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A man stands on the top of a high building with a source of sound with frequency 1000 Hz.He accidently drops the device.Find the frequency of the sound heard by the man 4 seconds after he drops the device?(Speed of sound=320 ...
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For S≡9x2-24xy+16y2-20x-15y-60=0,find the equation of the axis,directrix and length of latus rectum of the parabola? ...
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If the area enclosed between x2+y2≤9(pi)2 and sin(x-y)≥0 is m(pi)3/n sq units,then find [m]-[n]+[ m+n/m-n ]? ...
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If f(x)=3x3-13x2+14x-2 and p,q,r are roots of f(x)=0 such that p<q<r,then 1),[q],[r] where [.] denotes greatest integer function,are in A)A.P B)G.P C)H.P D)A.G.P 2) \fn_jvn \lim_{n\rightarrow \infty }(p)^{n!}(q)^{1/n} = ...
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1)If \dpi{100} \fn_jvn \int_{a}^{b}(2+x-x^{2}) is maximum find a+b? 2)For f(x)= 6/1+31ex the possible number of different integral values which f(x) can take is? 3)if \dpi{100} \fn_jvn \lim_{x\rightarrow \infty }\sqrt[3]{8x^{ ...
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A and B toss a coin each alternatively.The first person to toss 5 heads wins.Find the chances of A winning if he starts the game? ...
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x,y belong to R,x2+y2+xy=1,then the minimum value of x3y+y3x+4 is? ...
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If a six digit number abcdef is multiplied with 6,the resulting number is defabc.Find c+f? ...
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If y=x dy/dx + dx/dy then find y when x=4? ...
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If A=\begin{bmatrix} 4 & 6 & 6\\ 1& 3 & 2\\ -1& -4 &-3 \end{bmatrix} and A^{-1}=\alpha A^{2}+\beta A+\gamma I,then \alpha +\beta +\gamma is ...
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This has been discussed before but it is important... a+b+c=4 a2+b2+c2=6 a3+b3+c3=8 Find [a4+b4+c4] where [] denotes G.I.F? P.s:I know a method but i'm not sure if it's the shortest one to do this problem....thus sharing this ...
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sin a+cos b=2/3 sin b+cos a=1/3 Find tan((a-b)/2)? Note:Please give the shortest method....I know the longer one... ...
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if f(x)= 1/3 (f(x+1)+ 5/f(x+2) ) and f(x)>0 and finite for all x belonging to R,then limx→∞ f(x) is a) 2/5 b) 5/2 c) 10 d)0 ...
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easy one... Find the minimum value of the sum of squares of all trigonometric ratios? Hint:Integer-type answer... :P ...
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If a=cos left( frac{2pi }{7} ight)+i,sin left( frac{2pi }{7} ight), then the quadratic equation whose roots are a = a + a2 + a4 and b = a3 + a5 + a6 is ...
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although not exactly chemistry.... If the number of isomers produced on dibromination of n-Tridecane is 2n then find n? ...
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*Image* Consider a system as shown in the figure where the pulleys and the strings are ideal... m1=1kg m2=2kg m3=.5kg a)if frictionless find the acceleration of all the masses... b)friction between each of the bodies is 0.1 c ...
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in how many ways can a number whose no of factors is N be divided into product of three factors... ...
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the new look looks gud! :D ...
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Let a1,a2,a3......,a10 be a permutation of the set {1,2,3......,10} such that the sequence ai decreases first and then increases like 8,6,4,1,2,3,5,7,9,10.If N is the number of such permutations,then the sum of digits of N is ...
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if m,n are integers satisfying 1+cos2x+cos4x+cos6x+cos8x+cos10x= cos mx.sin nx/sinx then (m+n) equals ? A)9 B)10 C)11 D)12 ...
