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Standard X

Mathematics

Special Case When Y = a = 0

A circle with...

Question

A circle with centre $(1, 1)$ intersects X axis at $(1, 0)$ and Y axis at $(0, 1)$ . Find the centre of the circle when reflected through X axis.

(1, - 1)

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(1, 1)

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(- 1, - 1)

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None of the above

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Solution

The correct option is A $(1, - 1)$
The graph is symmetric(reflection) w.r.t to the $x$ -axis i.e. $y = 0$ , If $(x, y)$ is a point on the graph ,then $(x, - y)$ is also a point on the graph .

Given center at $(1, 1)$
using above concept reflection of center about $X$ -axis lies at $(1, - 1)$

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A circle with centre (1,1) intersects X axis at (1,0) and Y axis at (0,1). Find the centre of the circle when reflected through X axis.

The correct option is A (1,−1)The graph is symmetric(reflection) w.r.t to the x-axis i.e. y=0 , If (x,y) is a point on the graph ,then (x,−y) is also a point on the graph . Given center at (1,1)using above concept reflection of center about X-axis lies at (1,−1)

A circle with centre $(1, 1)$ intersects X axis at $(1, 0)$ and Y axis at $(0, 1)$ . Find the centre of the circle when reflected through X axis.

The correct option is A $(1, - 1)$
The graph is symmetric(reflection) w.r.t to the $x$ -axis i.e. $y = 0$ , If $(x, y)$ is a point on the graph ,then $(x, - y)$ is also a point on the graph .

Given center at $(1, 1)$
using above concept reflection of center about $X$ -axis lies at $(1, - 1)$