Equation of line AB will be
y−2=2(x−1)⇒2x−y=0
Now the given diameter is parallel to AB
Then, the distance between diameter and line AB
=(22+124)=54
Thus, BC=2×54=58
Also AB=(1−3)2+(2−6)2=20=25
Area of the rectangle=AB×BC=58×25=16
A rectangle R with end points of the one of its sides as (1,2) and (3,6) is inscribed in a circle. If the equation of a diameter of the circle is 2x−y+4=0, then the area of R is _____.
Held on 27 Jun 2022 · Verified 6 Jul 2026.
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