+91-87964 74404
FlagBACK
Question icon
Differential Calculus

Find integral solution to the eqation
[x][y]=x+y. show that all non-integral solution lie on exactly two lines. determine these lines.

Thanks

Profile image of vineet nimesh
11 Years agoGrade
Answers icon

1 Answer

Profile image of Sher Mohammad
11 Years ago
[x]=x- frac(x)= x-x’
[y]=y-frac(y) =y-y\

[x][y]=(x- frac(x))(y-frac(y) )
xy- xy’- x’y-x’y’ = x+y
xy- xy’- x’y-x’y’ –x- y is equation of pair of line, hence proved




Other Related Questions on differential calculus

question mark
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?
differential calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
Find dy/DX when y=x^sinx+sin-1√x.
 
Please give me the solution of this problem. 
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
1 Answer Available

Last Activity: 4 Years ago