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Consider the curve x^(2/3)+y^(2/3)=2 Find the slope of the tangent to the curve at the point (1,1).

Find the points on the curve 4x^(2) + 9y^(2) = 1 , where the tangents are perpendicular to the line 2y + x = 0.

Find the equation of tangent to the curve x^(2) + y^(2) =8 , where the tangent is parallel to the line 2x-2y+1=0

Find the points on the curve 4x^(2)+9y^(2)=1 where the tangents are perpendicular to the line 2y+x=0 .

Consider the curve (x^2)/16+(y^2)/9 =1 Find the points of intersection of the curve with x-axis.

Consider the curves x^(2)+y^(2)=1 and 2x^(2)+2xy+y^(2)-2x-2y=0. These curves intersect at two points (1,0) and (alpha,beta). Find 5(alpha+beta).

The equation of tangent to the curve x^(2)+y^(2)=5, where the tangent is parallel to the line 2x-y+1=0 are

The equation of normal to the curve x^(2)+y^(2)=5 , where the tangent is parallel to the line 2x-y+1=0 is

Consider the curve C_(1):x^(2)-y^(2)=1 and C_(2):y^(2)=4x then The point of intersection of directrix of the curve C_(2) with C_(1)