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Question 300010
JEE Mathematics · Hard

Straight Lines: JEE Main MCQ

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JEE MainHardQuestion 300010

Question

Lines 3x + 4y = 7 and 4x − 3y = 5 are:
  1. A
    Perpendicular
    Correct
  2. B
    Parallel
  3. C
    Same
  4. D
    At 60°

Correct answer

Perpendicular

Explanation

Slope of 3x+4y=7: m₁ = −3/4. Slope of 4x−3y=5: m₂ = 4/3. Product: m₁m₂ = (−3/4)(4/3) = −1 ✓. Lines are perpendicular.

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