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Question
The sides of a rectangle are given by x = ± a and y = ± b. The equation of the circle passing through the vertices of the rectangle is ______.
Options
x2 + y2 = a2
x2 + y2 = a2 + b2
x2 + y2 = a2 – b2
(x – (a)2 + (Y – (b)2 = a2 + b2
MCQ
Fill in the Blanks
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Solution
The sides of a rectangle are given by x = ± a and y = ± b. The equation of the circle passing through the vertices of the rectangle is x2 + y2 = a2 + b2.
Explanation:
Centre = (0, 0) and radius = r = `sqrt(a^2 + b^2)`
∴ Equation of circle is x2 + y2 = a2 + b2
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Equation of a Circle in Different Forms
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