Find the inclination from X - axis of the tangent at point (a, 2a) of the curve `y^(2) = 4ax`.

Find the inclination to the positive x-axis of the tangent to the curve 2y = 2-x^2 at the point (1, 1/2)

Find the inclination to the positive X-axis of the tangent to the curve y= -3x- x^4 at the point where x=-1

Find the angle of inclination of the slope of the tangent to the curve x^(2)+2y=8x-7 at the point x=5.

Find the equations of the tangent to the given curve at the indicated point : y^(2) = 4ax " at " ((a)/(m^(2)), (2a)/(m))

Find the inclination of the tangent to the curve 2y = 2-x^2 at the point(1,1/2)to the positive X-axis.

Find the points on the curve x^2=4y , where the tangents from (4,0) meet the curve.

Find the locus of the point P from which tangents are drawn to the parabola y^(2) = 4ax having slopes m_(1) and m_(2) such that m_(1)^(2)+m^(2)=lamda (constant) where theta_(1) and theta_(2) are the inclinations of the tangents from positive x-axis.

Find the locus of the point P from which tangents are drawn to the parabola y^(2) = 4ax having slopes m_(1) and m_(2) such that theta_(1)-theta_(2)=theta_(0) (constant) where theta_(1) and theta_(2) are the inclinations of the tangents from positive x-axis.

Find the equations of the tangent and the normal to the given curve at the indicated point : y^(2) = 4ax " at " ((a)/(m^(2)), (2a)/(m))