A tangent to the parabola `y^2=8x` makes an angle of `45^0` with the straight line `y=3x+5.` Then find one of the points of contact.

A tangent to the parabola y^(2)=16x makes an angle of 60^(@) with the x-axis. Find its point of contact.

Find the slope of the lines which makee an angle of 45^0 with the line x-2y=3

Find the slope of the lines which make an angle of 45^0 with the line 3x-y+5=0.

Find the slope of the lines which make an angle of 45^0 with the line 3x-6y+5=0.

The tangent to the hyperbola x^2 - y^2 = 3 are parallel to the straight line 2x + y + 8 = 0 at the following points

A tangent is drawn to parabola y^2=8x which makes angle theta with positive direction of x-axis. The equation of tangent is

The line 2x-3y=9 touches the conics y^(2)=-8x . find the point of contact.

Tangents are drawn to the hyperbola x^(2)-y^(2)=3 which are parallel to the line 2x+y+8=0 . Then their points of contact is/are :

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.