Find the value of `n in N` such that the curve `(x/a)^n+(y/b)^n=2` touches the straight line `x/a+y/b=2` at the point `(a , b)dot`

The line (x)/(a)+(y)/(b)=2 touches the curve ((x)/(a))^(n)+((y)/(b))^(n)=2 at the point (a, b) for

The line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-x//a) at the point

If the parabola y=x^(2)+bx+c , touches the straight line x=y at the point (1,1) then the value of b+c is

Show that the line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-(x)/(a)) at the point where it crosses the y-axis.

If (x)/(a)+(y)/(b)=2 touches the curve (x^(n))/(a^(n))+(y^(n))/(b^(n))=2 at the point (alpha,beta), then

If the straight line x cos alpha+y sin alpha=p touches the curve ((x)/(a))^(n)+((y)/(b))^(n)=2 at the point (a,b) on it,then (1)/(a^(2))+(1)/(b^(2))=