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Find the centre and radius of the circle. (x + 5)2 + (y – 3)2 = 36 - Mathematics

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प्रश्न

Find the centre and radius of the circle.

(x + 5)2 + (y – 3)2 = 36

योग

उत्तर

The equation of the given circle is (x + 5)2 + (y – 3)2 = 36.

(x + 5)2 + (y – 3)2 = 36

= {x – (–5)}2 + (y – 3)2 = 62, which is of the form (x – h)2 + (y – k)2 = r2, where h = –5, k = 3, and r = 6.

Thus, the centre of the given circle is (–5, 3), while its radius is 6.

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अध्याय 11: Conic Sections - Exercise 11.1 [पृष्ठ २४१]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 11 Conic Sections
Exercise 11.1 | Q 6 | पृष्ठ २४१
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