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Question 440005
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Coordinate Geometry Mixed Practice: JEE Advanced MCQ

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JEE AdvancedHardQuestion 440005

Question

The combined equation of pair of lines through origin and perpendicular to the pair 3x²−7xy+2y²=0 is:
  1. A
    2x²+7xy+3y²=0
    Correct
  2. B
    3x²+7xy+2y²=0
  3. C
    2x²−7xy+3y²=0
  4. D
    x²+y²=0

Correct answer

2x²+7xy+3y²=0

Explanation

If slopes of given pair are m₁, m₂, perpendicular slopes are −1/m₁, −1/m₂. The combined equation of perpendicular lines is obtained by swapping coefficients of x² and y² in the original equation: 3x²−7xy+2y²=0 becomes 2x²+7xy+3y²=0.

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