Find the points on the circle `x^2+y^2=9` such that the tangents formed at these points make equal intercepts on the axes.

Find the points on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 such that the tangent at each point makes equal angles with the axes.

Find the points on the circle x^2+y^2=16 at which the tangents are perpendicular to the y-axis and the x-axis.

Find the point on the curve 9y^(2)=x^(3), where the normal to the curve makes equal intercepts on the axes.

Find the equations of the circles which touch Y-axis at the point (0,3) , and make an intercept of 8 units on the X-axis .

Find the points on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

The equations of the tangents to the ellipse 3x^(2)+y^(2)=3 making equal intercepts on the axes are

Find the points on the curve 9y^(2)=x^(3) where normal to the curve makes equal intercepts with the axes.

the equations of the tangents to 9x^(2)+16y^(2)=144, which make equal intercepts on the coordinate axes.

Find the point on the curve y=3x^(2)-9x+8 at which the tangents are equally inclined with the axes.