The equation of the line passing through the point of intersection of lines 2 x - y + 2 = 0 and x + y + 4 =…

The equation of the line passing through the point of intersection of lines 2x-y+2=0 and x+y+4=0 and the point 5,-2 is
  1. y+2=0
  2. y-2=0
  3. 4x-3y-6=0
  4. x-y-7=0

Solution

L1: 2x-y+2=0

L2: x+y+4=0

L1+λL2=0

(2x-y+2)+λ(x+y+4)=0

It passes through (5,-2)

(10+2+2)+λ5-2+4=0

7λ=-14

λ=-2

-3y-6=0

y+2=0

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

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