Home Maths Straight Line General The equation of a line parallel to 2x – 3y =…
Maths Straight Line General Single Correct MCQ
Published on: August 14, 2026

The equation of a line parallel to 2x – 3y = 4 which makes with the axes a triangle of area 12 units, is-

A
3x + 2y = 12
B
2x – 3y = 12
C
2x – 3y = 6
D
3x + 2y = 6

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Text Solution

Verified by Experts
The correct answer is:
B

Any line parallel to 2x – 3y = 4 is 2x – 3y + λ = 0

A ≡ , B ≡

area of Δ AOB = = 12

λ 2 = 144 ⇒ λ = 12, – 12

line is 2x – 3y + 12 = 0 and 2x – 3y – 12 = 0

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