If the line 3x + 4y + k = 0 touches the ellipse 9x^2 + 16y^2 = 144, then the value of k is.

MHT CET 2026 Mathematics question

If the line touches the ellipse , then the value of is.

Answer: (D)

The ellipse is , so , . The line is with , . The tangency condition is , giving

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Question ID VK-100014