Find the eqaution of that normal to the hyperbola `3x^(2)-2y^(2)=10` at points where the line `x+y+3=0` cuts the curve.

Find the equations of,normals to the hyperbola 3x^(2)-2y^(2)=10 at points where the line x+y+3=0 cuts the curve.

Find the equtions of tangent and normals to the parabola y^2=4ax at the points where it is cut by the line y=3x-a

Find the equation of the normal to the hyperbola 3x^(2)-4y^(2)=12 at the point (x_(1),y_(1)) on it. Hence, show that the straight line x+y+7=0 is a normal to the hyperbola. Find the coordinates of the foot of the normal.

Find the eqautions of the tangents to the hyperbola 5x^2-4y^2=20 which are parallel to the line 3x+2y+12=0 .

Find the equation of the normal to the curve 3x^2-y^2=8 which are parallel to the line x+3y-5=0

Find the equation of the tangent and normal to the curve y(x-2)(x-3)-x+7=0 at the point where it cuts the x-axis.

Find the equations of tangent and normal to the curve y^(2)-4x-2y+5=0 at the point where it cuts the x-axis.

The equation of the normal to the curve y=e^(-2|x|) at the point where the curve cuts the line x = 1//2 is

The equation of the normal to the curve y=e^(-2|x|) at the point where the curve cuts the line x = 1//2 is

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.