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 Y axis.

• A. The reflected image would get formed in $1st$ quadrant.
• B. The reflected image would get formed in $2nd$ quadrant.
• C. The reflected image would get formed in $4rth$ quadrant.
• D. None of these

Answer 1

Answer: (B)

The reflected image would get formed in $2nd$ quadrant.

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

As we know points $(x,y)$ lie at $1^{st}$ quadrant -------- (both $x$ and $y$ are positive ).

Using above concept , all the reflected points of first quadrant about $Y$-axis lie at $(-x,y)$.

And we know points $(-x,y)$ lie in $2^{nd}$ quadrant .