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Q.the image of the pt.(3,8) in the line x+3y=7. options a.(1,4) b.(4,1) c.(-1,-4) d.(-4,-1)

Q.the image of the pt.(3,8) in the line x+3y=7.


options a.(1,4)


b.(4,1)                   c.(-1,-4)


d.(-4,-1)

Grade:12

1 Answers

Rup Chitrak
16 Points
9 years ago

[Ans: (c)]

Learn a formula

Reflection of a point P(x1,y1) in ax+by+c=0 is Q(h,k) where

 (h-x1)/a = (k-y1)/b = {-2(ax1+by1+c)}/(a2+b2)

now apply this formula...

(h-3)/1 = -40/10 = -4

or, h=-1

(k-8)/3 = -40/10 = -4

or, k = -4.

thus point of reflection is (-1,-4).

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