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Solve x1/3+(2x-3)1/3=(12(x-1))1/3 ...
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Suppose we take the first n primes, multiply them together, and add one. Does this number have to be prime? Give a proof or a counterexample. be confident in your answer ...
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Without graphing can you write out all solutions to x2 = 2x ? This is not entirely JEE stuff, but you can learn an interesting concept here ...
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Prove it: sin-1(1-x) - 2sin-1x = pi/2 ...
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suppose you put 100 pennies in cup , shake the cup , and then toss the pennies onto floor (A)how many different head-tail arrangement(microstate) are possible for the 100 pennies ? what is the probability of finding exact ...
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On heating a liquid of coefficient of cubical expansion γ in a container having coeff of linear exp γ/3 ,then what will happen to level of liquid in container? ...
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*Image* two cylinders having radii R1andR2respectivelyand rotational inertias I1and I2respectiveely are supported by axes perpendicular to the plane.The large cylinder is initilally rotating with angular velocity ω0The small ...
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plot {x2} and {x}2 on the same graph ...
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2 If for non zero x, a.f(x) +b.f(1/x)=1/x -5 where a≠b then find ∫ f(x)dx 1 ...
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ex = 2-{y} ...
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hi friends can u prove pythagoras thm by pure geometry ? if u already know the method its fine else try to prove . its interesting really !!!! ...
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if two regular hexagons are inscribed in a circle of unit radius,the minimum area common to the hexagons is ...
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A bag contains coin of value M and a number of other coins whose aggregate value is m.A person draws on at a time till he draws the coin M.Find value of his expectation ...
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Some questions on Permutation and combination for revision..... Q.1 Find the no of ways in which a 3 digit number xyz can be formed from the digits {1,2,3,4,5,6,7,8,9} such that x y z are in AP and x≠y≠z. Q.2 The number o ...
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Draw the graph of x<y intersection with x<y4 ...
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[x]2+[y]2 = 5 ...
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lets take a simple one.. what is the remainder when (1+2+3+.... n)n is divided by n-1? ...
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No. of integral solutions of x+y+z=0 x,y,z>= -5 ...
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1 Prove that ∫ (1+x)(1+x3) dt cant exceed 0 15/8 ...
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x If f(x) is continuous function with ∫ f(t)dt →∞ as mod(x)→∞ then 0 show that every line y=mx intersects curve x y2+∫ f(t)dt =2 0 ...
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2g of C6H5COOH dissolved in 25g of benzene shows a depression in freezing point equal to 1.63k.Molar depression constant for benzere is 4.9K kg mol-1.what is the percentage association of acid if it forms double molecules in ...
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Two unequal masses of 1 kg and 2 kg are connected by a string going over a clamped light smooth pulley. The system is released from rest. The larger mass is syopped for a moment 1 sec after the system is set in motion. Find t ...
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If 10 things are distributed among 3 persons,the chance of a particular person having more than 5 of them is 1507/19683 ...
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The number of rightangled triangles with integer sides and inradius 2008 is ...
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if a triangle is inscribed in a rectangular hyperbola,then which one of the following is on the curve? 1)centroid 2)incenter 3)orthocenter 4)circumcenter ...
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A barometer having metallic scale reads height Hθ at temp θ°C.If the scale is callibrated at temp 0°C and α is coeff of linear exp and γ is coeff of cubical exp. then calculate value of correct height. ...
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from a circular disc of radius R & mass 9m a small disc of radius R/3 is removed whose centre is at 2R/3 . find the moment of inertia of remainning disc about an axis perpendicular to the plane of disc & passing through centr ...
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Arrange the ligands in decreasing order of bascity: PPh3,PMe3,PH3,P(OR)3,PF3 ...
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a body of moment of inertia I is rotated with angular velocity ω & then its kept on rough horizontal surface. find the expression for time in which it starts rolling. ...
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NOTICE ANYTHING FUNNY? [4] *Image* ...