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NDA 2025 Maths · Mathematics · Straight Lines · easy

The length of the portion of the line 4x+3y=12 intercepted between the coordinate axes is

Single correct option

The length of the portion of the line 4x+3y=124x+3y=12 intercepted between the coordinate axes is
  1. A. 77
  2. B. 55
  3. C. 1212
  4. D. 7\sqrt{7}
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Answer: (B) 55

Putting y=0y=0 gives the xx-intercept 33, and x=0x=0 gives the yy-intercept 44. The intercepted portion is the hypotenuse of a right triangle with legs 33 and 44, so its length is 9+16=5\sqrt{9+16}=5. The value 77 is the sum of the intercepts, and 1212 is the constant term of the equation.
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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