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 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 the point (h, k) may lie on the curve x^(2)+y^(2)+5x+11y-2=0 .

Find the slopes of the tangent and the normal to the curve x y=6 at (1,\ 6)

Find the slopes of the tangent and the normal to the curve y=sqrt(x) at x=9

Find the slopes of the tangent and the normal to the curve x^2+3y+y^2=5 at (1, 1)

Find the shortest distance between the line x - y +1 = 0 and the curve y^2 = x.

Find the slopes of the tangent and the normal to the curve x^2+3 y2=5 at (1,1)

Find the equations of the tangent and the normal to the curve x^(2//3)+y^(2//3)=2 at (1,\ 1) at indicated points.

The condition that the line x=my+c may be a tangent of x^(2)/a^(2)-y^(2)/b^(2)=-1 is