Question

The image of the origin with reference to the line $4x+3y-25=0$ is:

• A. $(-8,6)$
• B. (8, 6)
• C. $(-3,4)$
• D. $(8,-6)$
• E. $(-4,-3)$

Answer 1

Answer: (B)

Let the image or (reflection) of the origin with reference to the line
$4x+3y-25=0$ is $(h,k)$
$\therefore$ $\frac{h-0}{4}=\frac{k-0}{3}$
$=\frac{-2(0+0-25)}{16+9}=\frac{50}{25}=2$
$\Rightarrow$ $\frac{h}{4}=2\Rightarrow h=8$
and $\frac{k}{3}=2\Rightarrow k=6$
$\therefore$ Required point is (8, 6).