JEE Main 2024 Mathematics question
Let the slope of the line 45x + 5y + 3 = 0 be for some r₁, r₂ ∈ ℝ. Then is equal to .
Answer: 12
Solution
The slope of the line is −9, so 27r₁ + 9r₂/2 = −9. The limit has the form 0/0. Applying L'Hôpital's rule, the limit equals 8x²/(3r₂/2 −
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