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Centre of circle inscribed in rectangle formed by the lines x 2 -8x +12=0 and y 2 – 14y + 40=0 is??

Centre of circle inscribed in rectangle formed by  the lines x2 -8x +12=0 and y2 – 14y + 40=0 is??

Grade:11

1 Answers

Shobhit Varshney IIT Roorkee
askIITians Faculty 33 Points
7 years ago
Dear student,

Thanks for your post.

Given lines are,
x2- 8x + 12 = 0,\large \Rightarrowx – 2 = 0, x – 6 = 0
y2 – 14y + 40 = 0 \large \Rightarrowy – 4 = 0, y – 10 = 0

These lines can be plotted on the coordinate plane as shown in the figure:
256-1139_shear modulus.jpg
From the figure,
the centre of the inscribed circle is C (4,7).

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