Question bank/JEE Main/Mathematics
JEE MainMathematicsModerateStraight Lines
If a^2 + b^2 - c^2 - 2ab = 0, then the family of straight
lines ax + by + c = 0 is concurrent at the points
Show answer and solution
Given, a^2 + b^2 - c^2 - 2ab = 0
(a - b)^2 - c^2 = 0
(a - b - c) (a - b + c) = 0
- a + b + c = 0
or a - b + c = 0
On comparing with ax + by + c =
(a - b)^2 - c^2 = 0
(a - b - c) (a - b + c) = 0
- a + b + c = 0
or a - b + c = 0
On comparing with ax + by + c =
Source: Grass-G / M-19 Mathematics Paper 28 Nov Fourth.docx
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