Find the equation of normal to the hyperbola `3x^2-y^2=1` having slope `1/3dot`

Find the equation of normal to the hyperbola x^2-9y^2=7 at point (4, 1).

Find the equation of normal to the hyperbola x^2-9y^2=7 at point (4, 1).

Find the equation of the tangent to the parabola x=y^2+3y+2 having slope 1.

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.

Find the equation of the tangent to the parabola y^2=8x having slope 2 and also find the point of contact.

Find the equations of the tangents to the hyperbola x^2=9y^2=9 that are drawn from (3, 2).

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

Statement 1 : The equations of tangents to the hyperbola 2x^2-3y^2=6 which is parallel to the line y=3x+4 are y=3x-5 and y=3x+5. Statement 2 : For a given slope, two parallel tangents can be drawn to the hyperbola.

Find the equations of tangents to the hyperbola x^(2)/16 - y^(2)/64 =1 which are parallelto 10x -3y + 9=0

Find the equation of the normal to the circle x^2+y^2=9 at the point (1/(sqrt(2)),1/(sqrt(2)))