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Graphs: Number of solutions of the equation xsinx+cosx=x^2
JEE Delight: In an AP, find the difference of the mean of their squares and the square of their mean
Jee Delight: Number of integral values of n such that x^3-x+n=0 has 3 distinct integer solution
JEE Delight: All possible values of 3×3 determinant M formed from 0 and 1 only
Jee Delight: Vertices of an equilateral triangle, folded to its circumcenter, find resulting area
JEE Delight: Number of solutions of the equation x^2=e^x
JEE Delight: Which of P(30,63) or Q(100,100) is reachable with jumps (a,b) to (a+2,b+1) or (a+1,b+2)
JEE Delight: If ax^2+2bx+c=0 has no real root, then a,b,c can be in AP, GP, HP?
JEE delight: Differentiability of f(x)=x/(e^x-1) at x=0
JEE Delight: Differentiability of f(x)=(x-1)min{x.x^2};xmin{x,1/x}
Math Marvel: Monotonicity of f(x)={max |x-y|/(x+y+1): y in [0,1]} x in [0,1]
JEE delight: Number of functions such that for every x there is exactly one y such that f(x)=f(y)
JEE Delight: Find a such that "good" points on |x|^a+|y|^a=1 which are closest to origin lie on axes
JEE Delight: Find the volume of water remaining in the pitcher?
JEE Delight: LMVT prove that f(x) cannot have a minimum at x=2
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