Two parallel chords of a circle of radius 2 are at a distance. `sqrt(3+1)` apart. If the chord subtend angles `pi/k` and `(2pi)/k` at the center, where `k >0,` then the value of [k] is

Two parallel chords of a circle of radius 2 are at a distance sqrt3 + 1 apart. If the chord subtend angles (pi)/(k) and (2pi)/(k) at the center, where k gt 0 , then the value of [k] is _____

Two parallel chords of a circle of radius 2 are at a distance sqrt3 + 1 apart. If the chord subtend angles (pi)/(k) and (pi)/(2k) at the center, where k gt 0 , then the value of [k] is _____

Two parallel chords of a circle of radius 2 units are (sqrt3+1) units apart. If these chords subtend, at the centre, angles of 90^@ /k" and "180^@/k , where kgt0, then find the value of k.

Let PQ and RS be two parallel chords of a given circle of radius 6 cm, lying on the same side of the center. If the chords subtends angles of 72^(@) and 144^(@) at the center and the distance between the chords is d, then d^(2) is equal to

Two parallel chords are drawn on the same side of the centre of a circle of radius R. It is found that they subtend and angle of theta and 2theta at the centre of the circle. The perpendicular distance between the chords is

Two parallel chords of a circle, which are on the same side of centre,subtend angles of 72^@ and 144^@ respetively at the centre Prove that the perpendicular distance between the chords is half the radius of the circle.

Let alpha chord of a circle be that chord of the circle which subtends an angle alpha at the center. If x+y=1 is a chord of x^(2)+y^(2)=1 , then alpha is equal to

Let alpha chord of a circle be that chord of the circle which subtends an angle alpha at the center. If the slope of a pi//3 chord of x^(2)+y^(2)=4 is 1, then its equation is

If the area bounded by y=x, y=sinx and x=(pi)/(2) is ((pi^(2))/(k)-1) sq. units then the value of k is equal to

The locus of the mid-points of the chords of the circle of lines radiùs r which subtend an angle pi/4 at any point on the circumference of the circle is a concentric circle with radius equal to (a) (r)/(2) (b) (2r)/(3) (c) (r )/(sqrt(2)) (d) (r )/(sqrt(3))