Question

the coordinates of the image of the origin O with respect to the straight line x+y+1=0 are a) (-1/2,-1/2) b) (-2,-2) c) (1,1) d) (-1,-1) please answer my question as soon as possible

Answer 1

although many procedure are there... I have one of that..let the mirror image be (h, k)
distance of (0,0) from line will be equal to distance between straight line and (h, K)
so
distance of (0,0) from x+y+1=0 is 1/√1*1+1*1
=1/√2
distance between (h,k) and line is
h+k+1/(√2)
it is equal to 1/√2
therefore... h+k=0..this is condition.. which option should follow.....
but I think there is some mistake in options..... check it once