Solution Diagonals of Parallelogram Bisect Q23

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Well explained... Even made me love math more

nikanoran.n.c

Do not use alot of words just get into it and explain briefly don't try to convince people. But you are doing great!

EmmanuelBinato

Because OC is a straight line, we can think that OC is lying on the positive x axis.
Then a cartesian coordinate system is established with O=(0, 0), C=(c, 0) and let A=(p, q).
Now using the definition of equality of vectors and using the fact that vectors OA and CB are equal and vectors OC and AB are equal, coordinates of B are calculated to be (p+c, q).
Now mid point of OB is
((p+c)/2, q/2).
And mid point of AC is also
((p+c)/2, q/2).

vagabondtheinmate

You could have shown OQ=1/2OB.[4:30]
By parallelogram law of vector addition and the could easily have shown that OQ=OP
That means Q and P coincides.

AbhishekKumar-okcw

If we calculate position vector of mid point of two diagonals and show that they are same, isn't that mean they bisect coz diagonals only have same mid point if they bisect??
Waiting for your response. Is the method authentic?

mohsinmirza

dear sir why you donot give direction on figure

anonymous-hykq

Sir your teaching is not very much I do not understand that what you want to tell

entertainmentbhau

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