Find whether the line `2x + y =3` cuts the curve `4x^2 + y^2 = 5.` Obtain the equations of the normals at the points of intersection.

Find the equation of the normal to the curve y = x^3 at the point (2,1).

Find the equation of the tangent to the curve x^2+3y=3 parallel to the line y-4x+5=0 . Find also the equation of the normal to the curve at the point of contact.

If equation of the curve is y^2=4x then find the slope of normal to the curve

If equation of the curve is y^2=4x then find the slope of normal to the curve

If equation of the curve is y^2=4x then find the slope of normal to the curve

Find the equations of the tangent line to the curve: y = 2x^2 + 3y^2 = 5 at the point (1,1)

Find the equation of normal to the curve, y = .x^3 at the point (2,8).

The line 7y-x=25 cuts the curve x^(2)+y^(2)=25 at the points A and B. Find the equation of the perpendicular bisector of the line AB.

Find the equation of the tangent to the curve y=sqrt(3x-2) , which is parallel to the line 4x-2y+5=0 . Also, write the equation of normal to the curve at the point of contact.

Find the equation of the tangent to the curve y=sqrt(3x-2) , which is parallel to the line 4x-2y+5=0 . Also, write the equation of normal to the curve at the point of contact.