Find the angle between the tangents drawn to `y^2=4x ,` where it is intersected by the line `y=x-1.`

Find the angle between the lines 4x+y=3 and x/2+y=4/7

Find the angle between the tangents drawn from (1,3) to the parabola y^(2)=4x

The angle between the tangents to the parabola y^(2)=4ax at the points where it intersects with the line x-y-a=0 is (pi)/(3) (b) (pi)/(4)(c)pi(d)(pi)/(2)

The angle between tangents to the parabola y^(2)=4ax at the points where it intersects with teine x-y-a=0 is (a>0)

Angle between tangents drawn to x^(2) +y^(2) -2x -4y +1=0 at the point where it is cut by the line, y =2x +c , is (pi)/(2) , then :

Find the point of intersection of the tangents drawn to the curve x^(2)y=1-y at the points where it is intersected by the curve xy=1-y.

Find the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2 with the curve x^(2)+2xy+3y^(2)+4x+8y=11=0 .