A line is drawn from a point p(x,y) on curve y=f(x), making an angle with the x-axis which is supplementaty to the one made by the tangent to the curve at p(x,y). The line meets the x-axis at A. another line perpendicular to the first, if drawn from p(x,y) meeting the y-axis at B. If OA=OB, where O is origin, find all curve which passes through (1,1)

A line is drawn from a point P(x, y) on the curve y = f(x), making an angle with the x-axis which is supplementary to the one made by the tangent to the curve at P(x, y). The line meets the x-axis at A. Another line perpendicular to it drawn from P(x, y) meeting the y-axis at B. If OA = OB, where O is the origin, theequation of all curves which pass through ( 1, 1) is

The line x/a-y/b=1 cuts the x-axis at P. The equation of the line through P and perpendicular to the given line is

The tangent to the curve x^(2) = 2y at the point (1,(1)/(2)) makes with the x-axis an angle of

Find the equation of the line which is perpendicular to the line x/a - y/b = 1 at the point where this line meets y-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

The slope of the tangent to the curve y=x^(2) -x at the point where the line y = 2 cuts the curve in the first quadrant, is

Find the equation to the line which is perpendicular to the line x/(a)-y/(b)=1 at the point where it meets the x-axis.

The equation of tangent to the curve y=be^(-x//a) at the point where it crosses Y-axis is

The tangent at a point P of a curve meets the y-axis at A, and the line parallel to y-axis at A, and the line parallel to y-axis through P meets the x-axis at B. If area of DeltaOAB is constant (O being the origin), Then the curve is