Archive
2nd of March 2017
Mathematics
Q:

Sir answer a question :if a diameter of circle set each of each of the two chords of a circle prove that are parallel





Om Darshan Singh - Junior - Class I

Thursday, March 02, 2017 at 18:13:PM

A:

Hi Darshan,

Your question should be :

 If a diameter of circle BISECTS each of each of the two chords of a circle prove that are parallel. 

begin mathsize 16px style Let space straight O space be space the space centre space of space the space circle. space Diameter space EF space passes space through space straight O.
AM equals BM space and space CN equals DN space... left parenthesis Since space diameter space EF space bisects space the space chords right parenthesis
We space know space that comma space the space line space joining space the space centre space of space the space circle space to space the space chord space that space bisects space the space chord comma
is space perpendicular space to space the space chord.
So comma space angle OMA equals angle OMB equals angle ONC equals angle OND space equals space 90 degree
So comma space if space MN space is space the space transversal space and space angle OMA space and space angle ONC space are space interior space angles comma
which space sum space upto space 180 degree comma
it space means space AB vertical line vertical line CD
end style

Thursday, March 02, 2017 at 18:40:PM