Question
The distance from the origin to the image of (1, 1) with respect to the line x+y+5=0 is
BITSAT
Mathematics
Straight Lines
2024
BITSAT 2024 (Memory Based Paper 1)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 7 2
- B. 3 2
- C. 6 2
- D. 4 2
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 x-1 1 = y-1 1 = 2(1+1+5) 1+1 x-1=-7, y-1=-7 x=-6, y=-6 Image of point (1,1) is (-6,-6) Now, distance from origin This is the required transformed equation. D= (0+6)^2+(0+6)^2 D= 72 =6 2
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