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ExamsJEE AdvancedMaths

What is the greatest slope of the lines represented by the combined equation x² - 7xy + 12y² = 0?

  1. 3
  2. 4
  3. 1/3
  4. 1/4

Correct answer: 1/3

Solution

Factoring gives lines y = x/3 (slope 1/3) and y = x/4 (slope 1/4); the greatest slope is 1/3.

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