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NDA 2025 Maths · Mathematics · Straight Lines · easy

Find the equation of the straight line that cuts off an intercept of 2 on the x-axis and an intercept of -3 on the y-axis.

Single correct option

Find the equation of the straight line that cuts off an intercept of 22 on the xx-axis and an intercept of −3-3 on the yy-axis.
  1. A. 2x−3y=62x-3y=6
  2. B. 3x−2y=63x-2y=6
  3. C. 3x+2y=63x+2y=6
  4. D. 2x+3y=62x+3y=6
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Answer: (B) 3x−2y=63x-2y=6

Intercept form: x2+y−3=1\frac x2+\frac y{-3}=1. Multiplying by 66 gives 3x−2y=63x-2y=6. The option 2x−3y=62x-3y=6 swaps the intercepts, 3x+2y=63x+2y=6 ignores the negative sign, and 2x+3y=62x+3y=6 does both. Check: (2,0)(2,0) and (0,−3)(0,-3) satisfy 3x−2y=63x-2y=6.
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Original question written in the NDA 2025 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake