Find the condition that the line `A x+B y=1` may be normal to the curve `a^(n-1)y=x^ndot`

Find the condition that the line Ax+By=1 may be normal to the curve a^(n-1)y=x^(n).

Find the condition that the line Ax + By = 1 may be normal to the curve a^(n - 1) y = x^(n) .

Find the condition that the line lx + my = n may be a normal to the ellipse x^(2)/(a^(2)) + y^(2)/b^(2) =1

Find the condition that the line x cos alpha+y sin alpha=p may touch the curve ((x)/(a))^(m)+((y)/(b))^(m)=1

Find the condition that the line x cos alpha+y sin alpha=p may touch the curve ((x)/(a))^(m)+((y)/(b))^(m)=1

Find the condition that line lx + my - n = 0 will be a normal to the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 .

Find the condition that line lx + my - n = 0 will be a normal to the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 .