Question

find image of a point (-1,0) with respect to a line x-2y+7=0​

Answer 1

Step-by-step explanation:

The given point are (1,0) and (0,1 )

then the slope of the line joining these

point be

= (1 –0 ) / ( 0– 1) =1

The given line is

x + 2y – 7=0

or , 2y = - x + 7

or , y = ( - 1/ 2 ) x + 7 / 2

So ( - 1/2 ) is the slope of this line

Therefore the angle between the given

line is

=sin -1 ( - 1/ 2 ) - ( 1 ) / ( 1 + ( - 1/ 2 ) ( - 1 )

= sin - 1 ( 1 / 2 +1 ) / ( 1 + 1 / 2 )

=sin - 1 ( 1 / 2 ) / ( 3/ 2 )

= sin - 1 (1/2)