Question

What is the coordinate of image of origin with respect to the line x+y+1=0 ?

Answer 1

Answer

(-2,-2)

Shortcut method for finding an image:-

image of point(x1,y1) inner line ax + by + c = 0

is given by

$image = \frac{x_2 - x_1}{ a} = \frac{y_2 - y_1}{b} = - 2 \frac{(ax _1 + by_1+ c)}{ {a}^{2} + {b}^{2} }$

here x2 and y2 are coordinates of the image

using this formula we can calculate the image easily add shown in the attachment.

as we have to find the image of the origin then it will be very easy then other points.

Answer 2

Answer:

so the age is at (-1,-1)

I think it is useful for yau