COMEDK20269 May 2026Morning ShiftMathematicsStraight LinesActual

Distance between 8x + 15y - 20 = 0 and 8x + 15y + 14 = 0 is:

Options

A4 7 units
B2 units
C10 17 units
D34 units

Correct answer

B. 2 units

Step-by-step solution

The given parallel lines are 8x + 15y - 20 = 0 and 8x + 15y + 14 = 0 . The distance between two parallel lines Ax + By + C₁ = 0 and Ax + By + C₂ = 0 is given by d = |C₁ - C₂| A^2 + B^2 . Substituting A = 8 , B = 15 , C₁ = -20 , and C₂ = 14 : d = |-20 - 14| 8^2 + 15^2 d = |-34| 64 + 225 d = 34 289 d = 34 17 = 2 units. Answer: 2 units

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