Let `S={(x,y)|x,y in R, x^2+y^2-10x+16=0}`. The largest value of `y/x` can be put in the form of `m/n` where m, n are relatively prime natural numbers, then `m^2+n^2=`

Let R={(x,y):x,y in N and x^(2)-4xy+3y^(2)=0 where N is the set of all natural numbers.Then the relation R is

One of the roots of the equation 2000x^6 +100x^5 +10x^3+x-2=0 is the form (sqrt(m)-n))/( r) , where m is non zero integer and n and r are relatively prime natural numbers. Find the value of m+n+r .

One of the roots of the equation 2000x^6 + 100x^5 + 10x^3 + x-2 =0 is of the form (m+sqrt(n))/ (r ) , where m is non zero integer and n and r are relatively prime natural numbers. Find the value of m + n + r .

Let R = {(x, y) : x, y in N and x^2-4xy+3y^2 = 0} , where N is the set of all natural numbers. Then the relation R is

If the area enclosed by the curve y^(2)=4x and 16y^(2)=5(x-1)^(3) can be expressed in the form (L sqrt(M))/(N) where L and N are relatively prime and M is a prime, find the value of (L+M+N) .

If the area enclosed by the curve y^(2)=4x and 16y^(2)=5(x-1)^(3) can be expressed in the form (L sqrt(M))/(N) where L and N are relatively prime and M is a prime, find the value of (L+M+N) .

One of the roots of the equation 2000x^(6)+100x^(5)+10x^(3)+x-2=0 is of the form (m+sqrt(n))/(r), when m29. is non zero integer and and r are relatively prime natural numbers.Find the value of m+n+r

Let M={(x,y)|y>=x^(2)} and N={(x,y)|x^(2)+(y-a)^(2)<=1} The necessary and sufficient condition for M nn N=N

If x,yinR^+ and log_10(2x)+log_10y=2 , log_10x^2-log_10(2y)=4 and x+y=m/n ,Where m and n are relative prime , the value of m-3n^(6) is