Let a ≠ 0 , b ≠ 0 , c be three real numbers and L (p , q) = {ap+bq+c}/\sqrt{a^2+b^2} , for all p , q ∊ R . If L (2/3,1/3) + L (1/3,2/3) + L (2 , 2) = 0 , then the line ax + by + x = 0 always passes through the fixed point

TS EAMCET 4 May 2018 Shift 1 Solved Paper

Section: Mathematics

Question : 44 of 160

Marks: +1, -0

Let a ≠ 0 , b ≠ 0 , c be three real numbers and L (p , q) =

ap+bq+c

√a2+b2

, for all p , q ∊ R . If L (

) + L (

) + L (2 , 2) = 0 , then the line ax + by + x = 0 always passes through the fixed point

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