Question

A ray of light through B(3, 2) is reflected at the point $A(0,\beta )$ on the y-axis and passes through C(4, 3). Then $\beta$ =

• A. $\frac{7}{11}$
• B. $\frac{13}{7}$
• C. $\frac{17}{7}$
• D. $\frac{8}{11}$

Answer 1

The correct option is C $\frac{17}{7}$

Image of B.w.r.t y - axis is (-3, 2) $B^1$
Eq of $B^{1}C$ is y - 3 $=\frac{1}{7}(x-4)$
$\beta -3=\frac{1}{7}(-4)\Rightarrow \beta =3-\frac{4}{7}=\frac{21-4}{7}=\frac{17}{7}$