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The equations of the lines through (1, 1) and making angles of 45º with the line x + y = 0 are (A) x – 1 = 0, x – y = 0 (B) x – y = 0, y – 1 = 0 (C) x + y – 2 = 0, y – 1 = 0 (D) x – 1 = 0, y – 1 = 0

The equations of the lines through (1, 1) and making angles of 45º with the line x + y = 0 are
(A) x – 1 = 0, x – y = 0 (B) x – y = 0, y – 1 = 0
(C) x + y – 2 = 0, y – 1 = 0 (D) x – 1 = 0, y – 1 = 0

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2 Answers

Arun
25750 Points
3 years ago
Dear student
 
x + y = 0
y = – x
 
hence at 45 degree lines will be parallel to x and y axis
 
so passing through (1,1)
lines will be 
x = 1 and y = 1
option D
Vikas TU
14149 Points
3 years ago
slope of y=−x is −1 
∴ it means 135 
  with x axis 
∴ the angle made by a line with x axis which is making 45 
  with y=−x is
= 135−45 
  and 135+45 
 ≡90 and 180
  
∴ the equation of the required line is 
y=−1 or x=−1

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