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Let O be the origin and A = (3, -2), B = (1, 2), C = (1, -2). Then the pair of points which are on the same side of the line 2x + 3y = 5 are

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O, B

B, C

A, C

A, B

answer is B.

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Detailed Solution

$\begin{array}{l} L \equiv 2 x + 3 y - 5 = 0 \\ A = (3, - 2), B = (1, 2) \\ L_{11} = - 5, L_{22} = 3 \\ A = (3, - 2), C = (1, - 2) \\ L_{11} = - 5, L_{33} = - 9 \end{array}$

$∴$ A and C are on the same side of the line

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