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JEE Advanced Mathematics question

MathematicsDeterminantsJEE Advanced

Consider the system of equations

ax + by = 0, cx + dy = 0; where a, b, c, d \{0, 1\}.

STATEMENT-1: The probability that the system of equations has a unique solution is , *and* STATEMENT-2: The probability that the system of equations has a solution is 1.

Answer: (B)

Solution

There are equally likely choices. A unique solution needs : either (1ยท3 = 3 ways) or (3 ways): 6 ways, probability

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Question ID VK-110701