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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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*Image* here a charge 2q is given to the shell c and shell a has got q charge inside it....and it is earthed...calculate the charges on the surface of each shell...also pl hilite the concept bhind it ...
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A stick of length L and mass M lies on a frictionless horizontal surface on which it is free to move in anyway. A ball of mass m moving with speed v collides elastically with the stick at a distance d below its centre. What m ...
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Suppose a ball of mass m moving with a speed v strikes a horizontal rod of mass M and length L placed on a smooth floor at an end. The coefficient of restitution is 0.5. Find the angular velocity of the rod, the linear veloci ...
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derive the formulae for 12+22+32+......+n2 without using mathematical induction ...
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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 ...
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A thread is wrapped over a massless pulley. The pulley and rope have a coefficient of friction k between them. If the thread/rope is wrapped by an angle of "theta".. then what is the ratio of the tensions on both side ...
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How many images are formed when this lens is used? No portion of the lens is opaque [4] *Image* ...
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1. y=xy *Image* that x=1.38 is to let U know that it is one to many... ...
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Given two numbers n and k, determine the number of ways one can put k bishops on an n × n chessboard so that no two of them are in attacking positions. many of you must have heard of it try this yourself please ...
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I'm having trouble with complex numbers.[2] My friends say "Machan, that's one of the easier topics to score in JEE". So I want to improve in that area. Please suggest a few tips for that. [1] ...
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This is a old trick question.. (not brillaint if u try to solve it first hand...) what is the number of solutions of x2+4x+1 = x+3 -2 ...
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A simple one for today... What is the time in which a sphere of radius R is emptied by a hole at the bottom of it which is of radius "a" << R Only force is due to gravity. **Filled with water ...
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Given 1∫2 ex2 dx = a , Find the value of e∫e4 √(logex) dx . ...
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Don't want soln or any hint just the answer.. If the roots of the equation ax2+cx+c=0 be in ratio p:q then.... p/q + q/p + c/a =? ...
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this thread is only for integration sums............ AND YA FORGOT TO TELL ALL TARGETIT USERS, I HAVE COPIED ALL THESE SUMS. SO KISIKO GAALI DENA HAIN YA KUCH KEHNA HAIN, PLEASE VISIT http://targetiit.com/profile711.html AND ...
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prove that... If a ball of mass m collides with another stationary ball of mass M then the maximum angle of deviation of the ball of mass m is sin-1M/m ...from post (http://targetiit.com/iit_jee_forum/posts/balls_in_a_semi_ci ...
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Four snails travel in uniform, rectilinear motion on a very large plane surface. The directions of their paths are random, (but not parallel, i.e.any two snails can meet), but no more than two snail paths can cross at any one ...
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EK AUR!!! *Image* TRY Q C) I DONT HAV DA ANS............. *Image* ...
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*Image* ...
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lim x→0 (1cosec2x+2cosec2x+3cosec2x+....Ncosec2x)sin2x=????? ...
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Prove the following (a2<1) a) \int _{0} ^ { \pi } ln(1-2a \cos \theta +a^2) d \theta=\begin{Bmatrix} 0 & a<1\\ 2\pi lna & a>1 \end{Bmatrix} b) \int _{0} ^ { \pi } ln(1-2a \cos \theta +a^2)\cos n \theta d \theta= - \f ...
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A compilation of quesitons similar to the way bhargav had one :P (hence borrowed a part of the name..) Keep solving and i will keep adding questions here... To begin with first 5 are here... Question 1) \left(\frac{dy}{dx}+1\ ...
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Find the sum of this infinite series \sum_{0\leq i\neq j\leq \infty}{\left(3^{-i}\times 3^{-j})} ...
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Given that x^3-3xy^2 = 10 and y^3-3x^2y = 30 find the value of x^2+y^2 ...
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x+y=2 =>x3 y3 (x3+y3)≤2 x,y +ve reals ...
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\lim_{x\rightarrow \infty}\left(\frac{(1+x)^x}{x^x\times e} \right)^x Source:AOPS ...
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Prove that if the equation ax2+ bx+ c= 0 has real roots then b2≥4ac Prove this in as many ways you can. nishant sir,i hope u wnt mind me posting qns ;) @ Beginners: If u think this is useless , u will surely miss some thing ...
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Prove the expansion of sin(A+B) in as many ways as you can... Simpler proofs fetch higher reward ;) ...
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the problems goes like that.. Teacher: Find number of non-negative integer solutions to the equation x1+ x2 + x3 + ....+ x100 = 10 Student: It's just the co - efficient of x10 in the (1 + x + x3+...)100 = (1-x)-100 Teacher: G ...
