The equation of the diameter which bisects the chord with slope 1/2 is
The general form of the equation of given ellipse is and equation of chord will be for some m and n.
Now in order to find values of x that intercept the ellipse it must fulfill the equation as such;
<h3 /><h3>What is the definition of an ellipse?</h3>
It is a plane section curve whose sum from two fixed points will be a constant value.
Quadratic roots will give the mid value of x and value of y will be ;
Thus the final equation of required diameter will be :
And in this case the equation of the diameter which bisects the chord with slope 1/2 is,
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