Let the mirror image of a point A(5,6)with respect to the line 2𝑥+3y= 15 be the point B Find - Maths - Conic Sections

Question

Let the mirror image of a point A(5,6)with respect to the line
2𝑥+3y= 15 be the point B Find the equation of the circle
described on AB as diameter AC is any chord of the circle meeting
the x- axis at D such that AD = 10 DC How many such chords are
possible?

Abhra Chakraborty · Accepted Answer

Dear student,
Here is the solution
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5c3114549bbe7%20jpg">Regards

Let the mirror image of a point A(5,6)with respect to the line 2𝑥+3y= 15 be the point B. Find the equation of the circle described on AB as diameter. AC is any chord of the circle meeting the x- axis at D such that AD = 10 DC. How many such chords are possible?