AP EAMCET2016MathematicsStraight Lines
The distance from the origin to the image of (1,1) with respect to the line x+y+5=0 is
Options
- A7 2
- B3 2
- C6 2
- D4 2
Correct answer
C. 6 2
Step-by-step solution
As we know that the image of (1,1) with respect to line x+y+5=0 is aligned & x-1 1 = y-1 1 = 2(1+1+5) 1+1 & x-1=-7, y-1=-7 & x=-6, y=-6 aligned Image of point (1,1) is (-6,-6) Now, distance from origin This is the required transformed equation. aligned & D = (0+6)^2+(0+6)^2 & D = 72 =6 2 aligned