JEE Main 2024 Mathematics question

MathematicsStraight LinesJEE Main 2024

Let a ray of light passing through the point (3, 10) reflects on the line 2x + y = 6 and the reflected ray passes through the point (7, 2). If the equation of the incident ray is ax + by + 1 = 0, then a² + b² + 3ab is equal to.

Answer: 1

Solution

The image of (7, 2) in 2x + y = 6 is (7, 2) − 2·((14 + 2 − 6)/5)(2, 1) = (−1, −2). The incident ray passes

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Question ID VK-012474