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Find the centre and radius of the circle. 2x2 + 2y2 – x = 0 - Mathematics

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प्रश्न

Find the centre and radius of the circle.

2x2 + 2y2 – x = 0

योग

उत्तर

2x2 + 2y2 – x = 0

= `"x"^2 + "y"^2 - "x"/2 = 0`

= `("x"^2 -"x"/2) + "y"^2 = 0` 

= `("x"^2 - "x"/2 + 1/16) + "y"^2 = 1/16`

= `("x" - 1/4)^2 + "y"^2 = (1/4)^2`

Thus, the centre of the given circle is `(1/4, 0)` while its radius is `1/4`.

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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 9 | पृष्ठ २४१
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