Write with proof which of the chords passing through any point in a circle will be the least .

Which of these chords does not pass through the centre?

A straight line which passes through two points on a circle is

A chord that passes through the centre of a circle is___

P is any point inside the circle with centre at O. If the radius of the circle be 5 cm and OP = 4 cm, then determine the length of the chord passing throgh P and which is also the least in length.

Does the. normal at any point on a circle passes through the centre of the circle ?

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle. The radius of that circle is

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle. The radius of that circle is

Prove that all the chords of a circle through a given point within it,the least is one which is bisected at that point.

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle.The radius of that circle is