Question

The reflection of the point (4, -13) about the line 5x + y + 6 = 0 is

(-1 , -14)
(1,2)
(3,4)
(0,0)

Answer 1

Answer:

ANSWER

Let the image of (2,4)=(h,k) Then

ah−x1=bk−y1=a2+b2−2(ax1+by1+c)

⇒1h−2=1k−4=12+12−2(2+4−10)

⇒h−2=+4    ∣k−4=4

                   h=6∣k=8

∴(h,k)=(6,8)