If `a+b=1/b+1/a=a/b,(a+b!=0)` where `a,b in R-{0}, a and b` are distinct then

If a+ ib= 0, prove that a= b= 0 where a, b in R .

If x^(2)-ax+b=0 where a,b in N has real and distinct roots,then a_(min)+b_(min)=

All roots of the cubic x^(3)+ax+b=0 (a,b in R) are real and distinct, and b>0 then

If r. a = r.b = r.c = 0 where a,b,c are noncoplannar, then

If a^(x)=b, b^(y)=c,c^(z)=a, prove that xyz = 1 where a,b,c are distinct numbers

If a^(x)=b, b^(y)=c,c^(z)=a, prove that xyz = 1 where a,b,c are distinct numbers

If a,b in R and a^(*)b=(a)/(a+b) where a+b!=0 and a^(*)b=5 then b*a=

Solve : (a)/(ax-1)+(b)/(bx-1)=a+b , where a+b ne 0, ab ne 0 .

If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct and different from 1) are concurrent the value of (a)/(a-1)+(b)/(b-1)+(c)/(c-1) is

If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct and different from 1) are concurrent the value of (a)/(a-1)+(b)/(b-1)+(c)/(c-1) is