If the normal at the point `P(theta)` of the curve `x^(2/3)+y^(2/3)=a^(2/3)` passes through the origin then

The tangent to the curve 5x^(2)+y^(2)=1 at ((1)/(3),-(2)/(3)) passes through the point

If the normal to the curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle theta with the x -axis then the slope of the normal is ……….

The point on the curve 3y=6x-5x^(3) the normal at Which passes through the origin,is

The slope of the tangent at a point P(x, y) on a curve is (- (y+3)/(x+2)) . If the curve passes through the origin, find the equation of the curve.

The slope of the tangent at a point P(x,y) on a curve is -(y+3)/(x+2) . If the curve passes through the origin, find its equation.

Find the equation of the normal to the curve ay^(2)=x^(3), at the point (am^(2),am^(3)). If normal passes through the point (a,0) then find the slope.