A circle `x^2 + y^2 = 1` cuts the line x+y=k and makes chord with length 1. The value of |K| is:

If the circle 2x^(2) + 2y^(2) = 5x touches the line 3x + 4y = k , then the values of k are

A circle with centre at (2, 4) is such that the line x+y+2 =0 cuts a chord of length 6. The radius of the circle is

A circle with centre at (2,4) is such that the line x+y+2=0 cuts a chord of length 6. The radius of the circle is

If the circle x^2 + y^2 = a^2 cuts off a chord of length 2b from the line y = mx +c , then

Find the points of intersection (if any) of the line x+2y-5=0 and the circle x^2+y^2=25. In case the line cuts the circle, find the length of the chord intercepted.

The chord along the line y-x=3 of the circle x^2 + y^2 = k^2 , subtends an angle of 30^0 in the major segment of the circle cut off by the chord. Find k .

The chord along the line y-x=3 of the circle x^2 + y^2 = k^2 , subtends an angle of 30^0 in the major segment of the circle cut off by the chord. Find k .

(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

If the circle x^(2)+y^(2)=a^(2) cuts off a chord of length 2b from the line y=mx+c, then