Straight Lines · Reflection of a line

From the point

(-1, -1)

, two rays are sent making angles of

45^\circ

with the line

x + y = 0

. These rays get reflected from the mirror

x + 2y = 1

. If the equations of the reflected rays are

ax + by = 9

and

cx + dy = 7

a, b, c, d \in \mathbb{Z}

, then the value of

ad + bc

is .

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.