Find the common point of the line x-2y=2 and curve `y^(2)+2x=0`

The mid-point of the line joining the common points of the line 2x-3y+8=0" and "y^(2)=8x, is

Find the intercept made by the line y=x on the curve y=x^(2)

The lines joining the origin to the points of intersection of the line 3x-2y-1 and the curve 3x^(2)+5xy-3y^(2)+2x+3y=0, are

Find the equation of tangent line to the curve y^(2)-7x-8y+14=0 at point (2,0)

Find the equation of the tangent line to the curve y=x^(2)-2x+7 which is : (a) parallel to the line 2x-y+9=0 (b) perpendicular to the line 5y-15x=13.

Find the coordinates of the point on the curve y^2=3-4x where tangent is parallel to the line 2x+y-2=0 .

Find the equation of the lines joining the origin to the points of intersection of the line x+y=1 with the curve 4x^(2)+4y^(2)+4x-2y-5=0 and show that they are at right angles

Find the equation of the tangent line to the curve y = x^2 - 2x + 9 , which is parallel to the line 2x - y + 7 = 0 .

Find the coordinates of the point on the curve y=x-(4)/(x) , where the tangent is parallel to the line y=2x .

Find the position of the line y=2x+3 with respect to the curve y=x^(2)+x+1