IF the tangent at any point P on the curve `x^my^n=a^(m+n)`, `mn ne 0` meets the coordinate axes in A.B then show that `AP:BP` is a constant.

The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

IF the tangent at a point on the curve x^(2//3)+y^(2//3)=a^(2//3) intersects the coordinate axes in A and B then show that the length AB is a constant.

If the tangent at the point (a,b) on the curve x^(3)+y^(3)=a^(3)+b^(3) meets the curve again at the point (p,q) then show that bp+aq+ab=0

The subtangent to the curve x^my^n=a^(m+n) at any point (x,y) is

If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercepts p and q on the coordinate axes, then p^(-4//3)+q^(-4//3)=

The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coordinate axes at A and B. If the lines drawn parallel to axes through A and B meet at P then locus of P is

If the tangent at any point on the curve x^(1//3)+y^(1//3)=a^(1//3)(agt0) cuts of intercepts p and q on the coordinate axes then sqrt(p)+sqrt(q) =