Find the length of the chord `x^2+y^2-4y=0` along the line `x+y=1.` Also find the angle that the chord subtends at the circumference of the larger segment.

Find the length of the chord cut-off by y=2x+1 from the circle x^2+y^2=2

(i) Find the length of the chord intercepted by the circle x^(2)+y^(2)-8x-2y-8=0 on the line x+y+1=0 (ii) Find the length of the chord intercepted by the circle x^(2)+y^(2)+8x-4y-16=0 on the line 3x-y+4=0 (iii) Find the length of the chord formed by x^(2)+y^(2)=a^(2) on the line xcos alpha +y sin alpha=p

Find the length of the chord intercepted by the circle x^(2)+y^(2)-8x-6y=0 on the line x-7y-8=0 .

If the length of focal chord of y^2=4a x is l , then find the angle between the axis of the parabola and the focal chord.

If the length of focal chord of y^2=4a x is l , then find the angle between the axis of the parabola and the focal chord.

Find the middle point of the chord of the circle x^2+y^2=25 intercepted on the line x-2y=2

Find the length of the chord intercepted by the circle x^(2) + y^(2) = 25 on the line 2x -y + 5= 0

Find the length of the chord x+ 2y = 5 of the circle whose equation is x^(2) + y^(2) = 9 . Determine also the equation of the circle described on the chord as diameter.

Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the origin.

Find the length of the common chord of the parabola y^2=4(x+3) and the circle x^2+y^2+4x=0 .