If a point P from where line drawn cuts coordinate axes at A and B (with A on x-axis and B on y-axis) satisfies `alphax^2/(PB^2)+beta y^2/(PA^2)=1,` then `alpha+beta` is

AB is a variable lines sliding between the coordinate axes in such a way that A lies on x-axis and B lies on y-axis. The P is a variable point on AB such that PA=b, PB=a and AB=a+b , then the equation of the locus of P is

If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0at A and B, then themaximum of PA+PB is

If the tangent to the curve 2y^(3)=ax^(2)+x^(3) at the point cuts off intercepts alpha and beta on the coordinate axes, where alpha^(2)+beta^(2)=61 then the value of |a| is

If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0 at A and B , then the maximum of PA+PB is

If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0 at A and B , then the maximum of PA+PB is

The graph of 2x = 5-3y cuts the x-axis at the point P( alpha,beta ). The value of (2alpha+beta) is

The graph of 2x=5-3y cuts the x-axis at the point P(alpha,beta) . The value of (2alpha+beta) is :

Through the point P(alpha,beta), where alpha beta>0 , the straight line (x)/(a)+(y)/(b)=1 is drawn so as to form a triangle of area S with the axes.If ab>0, then the least value of S is alpha beta(b)2 alpha beta (c) 3 alpha beta(d) none