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This question was from the test. I did not understand the solution. Could someone tell me the solution again? 1<sup>2</sup>-2<sup>2</sup>+3<sup>2</sup>-4<sup>2</sup>......... n& ...
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There are n points in a plane such that the area of the tirangle formed by any three is less than 1. Find the "minimum" area in which all these n points are enclosed!!! This was asked to me in my ISI interview. *clarifi ...
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My friend gave this question yesterday.... pls tell me ... i have a bet with him! x2=x+x+x+.... n times.... take derivative of both side... 2x=1+1+1+... x times thus, 2x=x! ...
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Plot a curve b/w P vs V plot: A(V0,P0) B(V0,3P0) C(3V0,P0) join A, B, C with straight lines Find Efficiency ...
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In the definition of conics the fixed pt doesn't lie on the directrix but what will be the geometric figures if the fixed pt lie on the directrix for different cases i.e. 1) e<1 2) e=0 c)e=1 d)e>1 ...
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2^x= x2+1 i am getting two.... 0 and 1. ny other??? ...
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The mean density of sea water is ∂ and bulk modulus is B.The change in density of sea water in going from surface of water to depth h is ...
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consider a parabola.... we can usually draw three normals to it from an external point.... ..FIND THE LOCUS OF ALL THOSE POINTS FROM WHICH ONLY TWO NORMALS CAN BE DRAWN .... ...
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I know many of you would've done this problem before still i thought it would be fun to check your presence of mind(not knowledge in coordinate!!!!) Assume an arbitary st. line cutting a hyperbola (assume x2/a2-y2/b2= ...
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The equation of largest circle passing from (1,1) and (2,2) and always in first quadrant........... ...
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Find no of points having integral coordinates on line 3x+5y=2007 in first quadrant excluding coordinate axes..... .........................(FIITJEE AITS ) ...
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the common chord of a circle with centre (-4,0) and a parabola y2=8x subtends an angle 90 at the vertex.Find the radius of the circle. ...
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plot the graph of x2+y2-2|x|-2|y|-2=0 ...
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A tube of length L contains a gas at temperature T. One end of the tube is closed and the other end is open. A small speaker producing sound of variable frequency is placed at the open end. The frequency of the speaker is inc ...
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2 heavy circular rollers of diameters D and d , respectively , rest on a rough horizontal plane as shown in the figure. The larger roller has a string wound around it to which a horizontal force P can be applied as shown. Ass ...
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ex = 2-{y} ...
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Draw the graph of [x+y] = {x} + {y} ...
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Draw the graph of ... {x+y}={x-y} ...
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Plot the graph of {x2} = {y2} ...
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Plot the graph of ... y=x+x2+x3...... infinity ...
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Draw the graph for the case when n is veyr very large! xn+yn=1 ...
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A straight glass tube has sealed lower end and upper end open to atmosphere.The lower half is filled with n moles of diatomic gas .The length of the tube is 1.52 m How much heat should be provided to the gas such that all the ...
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Draw the graph for... {y2}={(1-x)2} {} stands for fractional part ...
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[xy]=1 draw this graph... ...
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x+y=x3+y3 I dont know the solution.. and first look i could not convince myself that i wud be albe to get a solution either ;) but then that is the fun of all mathematics isnt it ? :) btw this is a bonus question for the reas ...
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Consider a container which contains just one molecule of a gas. What will happen if you: (1) double the volume keeping temperature constant (2) double the temperature keeping pressure constant? ...
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3 identical discs A,B,C rest on a smooth horz surface.Disc A is set into motion with speed u after which it experiences elastic collision simultaneously with B and C.Distace b/w centres of B and C prior to collision is n time ...
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an ideal gas is initially at temperature T and volume V Its volume is increased by V' due to an increase in temperature T' Pressure remaining constant The quantity s=V'/(VT') varies with temperature as Isn't the asked quantit ...
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1] caculate the least amount of work that must be done to freeze one gram of water at 0 degrees by a refrigerator. temperature of surroundings is 27 degrees. how much heat is passed to surroundings in this process? latent hea ...
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Take a (one-dimensional !) rod of length \ell and remove the middle one-third. Then remove the middle one-third of the remaining two pieces, then remove the middle one-third of the remaining four pieces, and so on forever. Le ...
