At what points on the curve `y=2/3(x^3) + 1/2(x^2)`, tangents make equal angles with the co-ordinate axes ?

The point on the curve 6y=4x^(3)-3x^(2) , the tangent at which makes an equal angle with the coordinate axes is

At what point of the curve y=x^2 does the tangent make an angle of 45o with the x-axis?

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

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

If the tangent at each point of the curve y=(2)/(3) x^(3)-2ax^(2)+2x+5 makes an acute angle with the positive direction of x-axis, then

At what points on the curve y=2x^2-x+1 is the tangent parallel to the line y=3x+4 ?

If at each point of the curve y=x^(3)-ax^(2)+x+1, the tangent is inclined at an acute angle with the positive direction of the x -axis,then a>0 (b) a<-sqrt(3)-sqrt(3)<=a<=sqrt(3)( d) none of these

Find the point on the curve y=x^(2) , where the slope of the tangent is equal to the x co-ordinate of the point.

Find the point on the curve y^(2)=ax the tangent at which makes an angle of 45^(@) with the x-axis.