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A day full of math games & activities. Find one near you.
Find the equation of the circle with centre (1, 1) and radius √2
Solution:
The equation of a circle with centre(h, k) and radius r is given as
(x - h)2 + (y - k)2 = r2
It is given that centre (h, k) = (1, 1)
and radius (r ) = √2.
Therefore, the equation of the circle is
(x - 1)2 + (y - 1)2 = (√2)2
x2 - 2x + 1 + y2 - 2y + 1 = 2
x2 + y2 - 2x - 2y = 0
NCERT Solutions Class 11 Maths Chapter 11 Exercise 11.1 Question 4
Find the equation of the circle with centre (1, 1) and radius √2.
Summary:
The equation of the circle is x2 + y2 - 2x - 2y = 0
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