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

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 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 the straight line cx-by+b^(2)=0 may touch the circle x^(2)+y^(2)=ax+by

The condition that the line (x)/(a)+(y)/(b)=1a tangent to the curve x^((2)/(3))+y^((2)/(3))=1 is

The condition that the line y=mx+c may be a secant to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

Find the position of the line y=2x+3 with respect to the curve y=x^(2)+x+1

Find the position of the line y=2x+3 with respect to the curve y=x^(2)+x+1