Question

A circle with centre $(0,0)$ and of radius $2$ cm is plotted in the XY plane. Take the part of circle in first quadrant and find its reflection through X axis.

• A. The reflected image will form in $3rd$ quadrant.
• B. The reflected image will form in $1st$ quadrant.
• C. The reflected image will form in $2nd$ quadrant.
• D. The reflected image will form in $4rth$ quadrant.

Answer 1

Answer: (D)

The reflected image will form in $4rth$ quadrant.

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 .

in first quadrant both $x$ and $y$ are positive ,

using above concept ,all the point of circle which lie on the first quadrant has a reflection about $X$-axis at $(x,-y)$ .

And we know points $(x,-y)$ always lie in $4^{th}$ quadrant .