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JEE Main 2026 Mathematics question

MathematicsStraight LinesJEE Main 2026

From the point (−1,−1), two rays are sent making angles of 45° with the line x+y=0. These rays get reflected from the mirror x+2y=1. If the equations of the reflected rays are ax+by=9 and cx+dy=7, a,b,c,d∈ℤ, then the value of ad+bc is .

Answer: 7

Solution

The two rays from (−1,−1) at 45° to x+y=0 are horizontal (y=−1) and vertical (x=−1). Reflecting each

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Question ID VK-015431