Question
Question: One of the diameter of the circle circumscribing the rectangle ABCD is 4y = x + 7. If A and B are th...
One of the diameter of the circle circumscribing the rectangle ABCD is 4y = x + 7. If A and B are the points (–3, 4) and
(5, 4) respectively, then the area of the rectangle is –
A
16
B
32
C
8
D
None of these
Answer
32
Explanation
Solution
AB = 8, M = (1, 4)
Let centre of circle is O(h, k)
Q AB is parallel to X axis
Ž MN is parallel to Y axis
Ž h = 1
Now Q 4y = x + 7 is a diameter
4k = h + 7
4k = 1 + 7
k = 2
Ž O(1, 2)
Ž OM = 2
Ž MN = 4
Area = 8 × 4 = 32