Find the equation of the normal to curve `x^2=4y` which passes through the point (1, 2).

Find the equation of the normal to the curve x^(2)=4y which passes through the point (1,2).

(i) Find the equation of the normal to the curve : x^(2)=4y , which passes through the point (1, 2). (ii) Find the equation of the normal to the curve : y^(2)=4x , which passes through the point (1, 2).

Find the equation of the normal at a point on the curve x^(2)=4y , which passes through the point (1,2). Also find the equation of the corresponding tangent.

Find the equation of the tangents to the curve 3x^(2)-y^(2)=8, which passes through the point ((4)/(3),0)

Find the equation of the normal to curve y^(2)=4x at the point (1, 2) .

find the equation of the curve which passes through the point (2,2) and satisfies the differential equation y-x(dy)/(dx)=y^(2)+(dy)/(dx)

The number of normals to the curve 3y ^(3) =4x which passes through the point (0,1) is

Find the equation of the circle which passes through the point (1, 1) & which touches the circle x^(2) + y^(2) + 4x – 6y – 3 = 0 at the point (2, 3) on it.

At any point P(x,y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact P to the point (-4,-3) Find the equation of the curve given that it passes through the point (-2, 1)

Find the equation of the curve for which the length of the normal is constant and the curves passes through the point (1,0).