Find the equation of the normal to the curve `y = 5x + x^2` which makes an angle `45^@` with x axis.

Find the equation of the normal to the curve y=|x^(2)-|x||atx=-2

The equation of the normal to the parabola y^(2)=5x . Which makes an angle of 45^(@) with the x-axis is -

Find the equation of normal to the parabola y^(2)=12x at (3t^(2),6t) . Hence, find the equation of the normal to this parabola which makes an angle 135^(@) with the x-axis.

Find the equation of normal to the curve y = x^(3) + 5x^(2) + 2 at (1, -1).

Find the length of the normal chord of a parabola y^2 = 4x , which makes an angle 45^@ with its axes.

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^@ with the x-axis.

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^@ with the x-axis.

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^0 with the x-axis.