Let d be the distance between the parallel lines 3 x-2 y+5=0 and 3 x-2 y+5+2 \sqrt{13}=0. Let {\L}_1 \equiv 3 x-2 y+ {\k}_1=0 ( {\k}_1>0) and {\L}_2 \equiv 3 x-2 y+ {\k}_2=0 ( {\k}_2>0) be two lines that are at the distance of {4 {\d}}/{\sqrt{13}} and {3 {\d}}/{\sqrt{13}} from the line 3 x-2 y+5=0. Then the combined equation of the lines {\L}_1=0 and {\L}_2=0 is [TG EAPCET 14 May 2023 Shift 1]

Correct Answer is : (3x−2y)2+24(3x−2y)+143=0

TS EAMCET Engineering 14 May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 42 of 160

Marks: +1, -0

Let d be the distance between the parallel lines 3x−2y+5=0 and 3x−2y+5+2√13=0. Let L1≡3x−2y+k1=0(k1>0) and L2≡3x−2y+k2=0(k2>0) be two lines that are at the distance of ‌

√13

and ‌

√13

from the line 3x−2y+5=0. Then the combined equation of the lines L1=0 and L2=0 is

[TG EAPCET 14 May 2023 Shift 1]

(3x−2y)2+24(3x−2y)+143=0
(3x−2y)2+8(3x−2y)+33=0
(3x−2y)2+12(3x−2y)+13=0
(3x−2y)2+12(3x−2y)+1=0

Validate

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