Class 11 Mathematics - Chapter Conic Secrtions NCERT Solutions | Find the equation of the circle with cen

Welcome to the NCERT Solutions for Class 11th Mathematics - Chapter Conic Secrtions. This page offers a step-by-step solution to the specific question from Excercise ".$ex_no." , Question 2: find the equation of the circle with centre ndas....
Question 2

Find the equation of the circle with centre (–2, 3) and radius 4

Answer

The equation of a circle with centre (hk) and radius is given as

(x­ – h)2 + (y ­– k)2 = r2

It is given that centre (hk) = (–2, 3) and radius (r) = 4.

Therefore, the equation of the circle is

(x + 2)2 + (y – 3)2 = (4)2

x2 + 4x + 4 + y2 – 6y + 9 = 16

x2 + y2 + 4– 6y – 3 = 0

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