AP EAMCET Engineering 21 Sep 2020 Shift 1 Paper

Equation of family of lines passes through the intersection of lines 3x−4y+1=0 and 5x+y−1=0 is
(3x−4y+1)+λ(5x+y−1)=0
⇒‌‌‌

x

λ−1 5λ+3

+‌

y

λ−1 λ−4

=1,‌‌{λ≠1}
∵ The obtain lines makes equal intercepts with the axes, so
|‌

λ−1

5λ+3

|=|‌

λ−1

λ−4

|
⇒‌‌λ=−‌

7

4

,‌

1

6

  ⇒{∵λ≠1}
∴ Equation of required lines are
−23x−23y+11=0 and 23x−23y+5=0
or 23x+23y−11=0 and 23x−23y+5=0